Let x be the number added to 2, 14, 62 so that the resulting numbers may be in GP. So (2+x), (14+x), (62+x) will be in GP.
196 + 28x + x2 = 124 + 62x +2x + x2
196 + 28x + x2 = 124 + 62x +2x + x2196 – 124 = 64x – 28x
196 + 28x + x2 = 124 + 62x +2x + x2196 – 124 = 64x – 28x72 = 36x
196 + 28x + x2 = 124 + 62x +2x + x2196 – 124 = 64x – 28x72 = 36xSo x = 72/36
196 + 28x + x2 = 124 + 62x +2x + x2196 – 124 = 64x – 28x72 = 36xSo x = 72/36x = 2