An algorithm has been developed for calculating the gas-gas critical line of type-III binary fluid mixtures for extended corresponding-states (ECS) models. The algorithm searches for an extremum in pressure on the spinodal curve of an isothermal pressure-composition phase diagram of a binary mixture. The method has been applied to solutions of carbon dioxide and of nitrogen in water. starting at the water critical point. Two variants of ECS have been tested for their ability to represent reliablePVTx data in the nitrogen-water mixture. It is demonstrated that in the latter system both ECS variants produce an artifact in the gas-gas critical line in the range of 0–0.2 mole fraction of nitrogen.