The highly chiral compound S,S-4Љ-͑methylbutyl͒phenyl-4Ј-͑methylbutyl͒ biphenyl carboxylate ͑S,S-MBBPC͒ undergoes a continuous supercritical evolution from the isotropic (I) phase to the third blue phase ͑BPI III͒. Mixtures of S,S-MBBPC and its racemate have been studied with high-resolution calorimetry capable of quantitative latent heat determinations and with optical activity measurements. Both experiments indicate that the first-order BP III-I transition line ends at a critical point when the chiral mole fraction X c Ӎ0.45. Analysis of C p and optical activity data for the near-critical mixture with Xϭ0.45 indicates meanfield behavior instead of the theoretically predicted Ising fluctuation behavior, which would be analogous to that at the liquid-gas critical point of a simple fluid. It is speculated that the Ginzburg criterion can explain this mean-field behavior since the critical regime may be too small for experimental observation, as is the case for almost all Smectic-A -Smectic-C transitions.