Question

If 36, 54, x are in continued proportion, find the value of x.

Answer 1

36, 54 and x are in continued proportion.
Then, 36 : 54 :: 54 : x
⇒ $36\times x=54\times 54$ [Product of extremes = Product of means]
⇒ 36x = 2916
⇒ x = 81