**EXHIBIT 31**

CERTIFICATION PURSUANT TO RULE 13a-14(a),        AS ADOPTED PURSUANT TO SECTION 302        OF THE SARBANES-OXLEY ACT OF 2002

I, Joseph M.Jayson, Individual General Partner and Principal Financial OfficerofRealmark Property Investors Limited Partnership - III, hereby certify that:

1.   I have reviewed this annual report on Form 10-K ofRealmark Property Investors Limited Partnership - III;

2.   Based on my knowledge, this annual report does not contain any untruestatement of a material fact or omit to state a material fact necessaryto make the statements made, in light of the circumstances under whichsuch statements were made, not misleading with respect to the periodcovered by this annual report;

3.   Based on my knowledge, the financial statements, and other financialinformation included in this annual report, fairly present in allmaterial respects the financial condition, results of operations andcash flows of the Partnership as of, and for, the periods presented inthis annual report;

4.   I am responsible for establishing and maintaining disclosure controlsand procedures (as defined in Exchange Act Rules 13a-15(e) and15d-15(e)) and internal control over financial reporting (as defined inExchange Act Rules 13a-15(f) and 15d-15(f)) for the Partnership and Ihave:

a.   Designed such disclosure controls and procedures, or caused suchdisclosure controls and procedures to be designed under mysupervision, to ensure the material information relating to thePartnership, including its consolidated subsidiaries, is madeknown to me by others within those entities, particularly duringthe period in which this annual report is being prepared;

b.   Designed such internal control over financial reporting, orcaused such internal control over financial reporting to bedesigned under my supervision, to provide reasonable assuranceregarding the reliability of financial reporting and thepreparation of financial statements for external purposes inaccordance with generally accepted accounting principles;

c.   Evaluated the effectiveness of the Partnership's disclosurecontrols and procedures and presented in this report ourconclusions about the effectiveness of the disclosure controlsand procedures, as of the end of the period covered by thisreport based on such evaluation; and

d.   Disclosed in this report any change in the Partnership's internalcontrol over financial reporting that occurred during thePartnership's most recent fiscal quarter that has materiallyaffected, or is reasonably likely to materially affect, thePartnership's internal control over financial reporting; and

5. I have disclosed, based on my most recent evaluation of internalcontrol over financial reporting, to the Partnership's auditors and theaudit committee of the board of directors (or persons performing theequivalent function):

a.   All significant deficiencies and material weaknesses in thedesign or operation of internal control over financial reportingwhich are reasonably likely to adversely affect the Partnership'sability to record, process, summarize and report financialinformation; and

b.   Any fraud, whether or not material, that involves management orother employees who have a significant role in the Partnership'sinternal control over financial reporting.

| September 5, 2008                                                            |  | */s/Joseph M. Jayson*          |  |
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|             Date |  | Joseph M. Jayson               |  |
|                                                                              |  | Individual General Partner and |  |
|                                                                              |  | Principal Financial Officer    |  |