If
is the first number in the progression, and
is the common ratio between consecutive terms, then the first four terms in the progression are

We want to have

In the second equation, we have

and in the first, we have

Substituting this into the second equation, we find

So now we have

Then the four numbers are

7(x+2) = 35
Use the distributive property:
7x + 14 = 35
Subtract 14 from each side:
7x = 21
Divide both sides by 7:
x = 21 / 7
X = 3
The answer is C. 3
I've actually just learned this. We would set up the proportion as X/9=36/X so after we cross multiply we get x^2=324. Then we find the square root of both sides to simplify. And using my calculator the square root of x^2 is just x. And the square root of 324 is 18. So the final answer is x=18 or the geometric mean is 18.
Answer:
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Step-by-step explanation:
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