Three liquids are at temperatures of 13 ◦C, 22◦C, and 36◦C, respectively. Equal masses of the first two liquids are mixed, and the equilibrium temperature is 19◦C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 32.9 ◦C. Find the equilibrium temperature when equal masses of the first and third are mixed. Answer in units of ◦C.