2 NO(g) ----> N2(g) + O2(g) Kc1 = 1 x 1030
N2(g) + Br2(g) + O2(g) ----> 2 NOBr(g) Kc2 = 2 x 10-27
The two equations can be added to yield the desired equation. The value of Kc for the reaction will be the product of the other two.
K'c = Kc1 x Kc2 = (1 x 1030)(1 x 10-27) = 2 x 103