The Third Extreme Ultraviolet Explorer (EUVE) Right Angle Program (RAP) Catalog contains information on the detection of 76 extreme ultraviolet (EUV) sources, of which 63 are new detections, using the EUVE's RAP data. This catalog concentrates on observations made in the last years of the RAP, 1999 and 2000, with a sky coverage of 7% of the sky. The EUVE RAP used the all-sky survey telescopes (also known as "scanners"), which were mounted at right angles to the Deep Survey and Spectrometer instruments, to obtain photometric data in four wavelength bands centered at 100 Angstroms (Lexan/Boron or "Lexan"), 200 A (Al/Ti/C or "Al/C"), 400 A (Ti/Sb/Al or "Dagwood"), and 600 A (Sn/SiO or "Tin"). The EUVE RAP3 Catalog contains source count rates and probable source identifications from the available catalogs and literature. The source distribution is similar to previous EUV catalogs with 5 (8%) early-type stars, 23 (37%) late-type stars, 1 (2%) white dwarf, 1 (2%) cataclysmic variable, 4 (6%) extragalactic objects, 22 (35%) with no firm classification, and 7 (11%) with no optical identification. This final RAP Catalog, combined with the EUVE All-Sky Survey, the Lampton et al. (1997, ApJS, 108, 545) Faint EUV Source List, and previous RAP Catalogs, brings the total number of EUV sources to nearly 1200. This table was created by the HEASARC in September 2011 based on an ASCII version of Table 1 from the reference paper which was obtained from the AJ web site. This is a service provided by NASA HEASARC .