EXHIBIT 32

                CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,
                       AS ADOPTED PURSUANT TO SECTION 906
                        OF THE SARBANES-OXLEY ACT OF 2002


      The certification set forth below is hereby made solely for the purpose of
satisfying the requirements of Section 906 of the Sarbanes-Oxley Act of 2002 and
may not be relied upon or used for any other purposes.

      In connection with the Annual Report of Realmark Property Investors
Limited Partnership - III (the "Partnership") on Form 10-K for the year ended
December 31, 2006, as filed with the Securities and Exchange Commission on the
date hereof (the "Report"), I, Joseph M. Jayson, Individual General Partner and
Principal Financial Officer, certify, pursuant to 18 U.S.C. Section 1350, as
adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to the
best of my knowledge:

     1.   The Report fully complies with the requirements of section 13(a) or
          15(d) of the Securities Exchange Act of 1934, as amended; and

     2.   The information contained in the Report fairly presents, in all
          material respects, the financial condition and results of operations
          of the Partnership.




March 29, 2007                                   /s/ Joseph M. Jayson
- --------------                                   --------------------
     Date                                        Joseph M. Jayson
                                                 Individual General Partner and
                                                 Principal Financial Officer