UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM N-PX

ANNUAL REPORT OF PROXY VOTING RECORD OF REGISTERED MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number: 811-06540

Name of Fund: BlackRock MuniYield Quality Fund III, Inc. (MYI)

Fund Address: 100 Bellevue Parkway, Wilmington, DE 19809

Name and address of agent for service: John Perlowski, Chief Executive Officer, BlackRock MuniYield Quality Fund III, Inc., 55 East 52^nd Street, New York City, NY 10055.

Registrant’s telephone number, including area code: (800) 882-0052, Option 4

Date of fiscal year end: 07/31

Date of reporting period: 07/01/2016 – 06/30/2017

Item 1 – Proxy Voting Record – There were no matters relating to a portfolio security considered at any shareholder meeting held during the period ended June 30, 2017 with respect to which the registrant was entitled to vote.

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ICA File Number: 811-06540
Reporting Period: 07/01/2016 - 06/30/2017
BlackRock MuniYield Quality Fund III, Inc.









================== BlackRock MuniYield Quality Fund III, Inc. ==================

There is no proxy voting activity for the fund, as the fund did not hold any
votable positions during the reporting period.
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Pursuant to the requirements of the Investment Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

BlackRock MuniYield Quality Fund III, Inc.