September 28, 2018 Nicholas A. Petruska Executive Vice President, Chief Financial Officer and Secretary Hennessy Capital Acquisition Corp. III 3845 North Pine Way Suite 110 Wilson, WY 83014 Re: Hennessy Capital Acquisition Corp. III Revised Preliminary Proxy Statement Filed September 5, 2018 File No. 1-38119 Dear Mr. Petruska: We have completed our review of your filing. We remind you that the company and its management are responsible for the accuracy and adequacy of their disclosures, notwithstanding any review, comments, action or absence of action by the staff. Sincerely, Division of Corporation Finance Office of Manufacturing and Construction