Cook rice and milk together over boiling water until tender (about 1 hr.). Into beaten egg yolks, stir 3 T. sugar, salt; then stir in some of the hot rice mixture. Return to double boiler and cook 2 minutes more, stirring constantly. Cool partially. Stir in vanilla. Beat egg whites till frothy; then beat in 3 T. sugar a little at a time, counting using until stiff and glossy. Fold into rice custard mixture.