<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2022-01-11</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001848948</issuerCik>
        <issuerName>10X Capital Venture Acquisition Corp. III</issuerName>
        <issuerTradingSymbol>VCXB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001861425</rptOwnerCik>
            <rptOwnerName>10X Capital SPAC Sponsor III LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>10X CAPITAL VENTURE ACQUISITION CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>III 1 WORLD TRADE CENTER, 85TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10007</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001828707</rptOwnerCik>
            <rptOwnerName>Thomas Hans</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>10X CAPITAL VENTURE ACQUISITION CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>1 WORLD TRADE CENTER, 85TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10007</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Executive Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Class B Ordinary Shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>10005000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The Class B ordinary shares are convertible for the Issuer's Class ordinary shares as described under the heading &quot;Description of Securities&quot; in the Issuer's Registration Statement on Form S-1 (File No. 333-253868) (the &quot;Registration Statement&quot;) and have no expiration date. The Class B ordinary shares beneficially owned by the Reporting Persons include up to 1,305,000 Class B ordinary shares subject to forfeiture to the Issuer depending on the extent to which the underwriters' over-allotment option is exercised in connection with the Issuer's initial public offering of units, as described in the Registration Statement.</footnote>
        <footnote id="F2">10X Capital SPAC Sponsor III LLC (the &quot;Sponsor&quot;) is the record holder of the securities reported herein. Hans Thomas is the managing member of the Sponsor. Mr. Thomas has voting and investment discretion with respect to the securities held of record by the Sponsor.</footnote>
    </footnotes>

    <remarks>See Exhibit 99.1 - Joint Filer Information, which is incorporated herein by reference and describes in further detail the relationships of the Reporting Persons to the Issuer. See Exhibits 24.1 and 24.2 - Powers of Attorney.</remarks>

    <ownerSignature>
        <signatureName>/s/ Joanna Heinz, Attorney-in-Fact for 10X Capital SPAC Sponsor III LLC</signatureName>
        <signatureDate>2022-01-11</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Joanna Heinz, Attorney-in-Fact for Hans Thomas</signatureName>
        <signatureDate>2022-01-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
