Insert two geometric means between 4750 and 38.what is the second Geometric means?

Answer 1

4750, 4750r, 4750r^2, 38
for any 3 consecutive terms of a GP, the square of the middle one is equal to the product of the other 2
look at the last three terms:

(4750r^)^2 = 38(4750r)
4750*4750r^4 = 38*4750r
divide by 4750r
4750r^3 = 38
r^3 = 1/125
r = 1/5

so our sequence is 4750, 950, 190, 38