Let `x` be the arithmetic mean and `y ,z` be tow geometric means between any two positive numbers. Then, prove that `(y^3+z^3)/(x y z)=2.`

Explanation

To prove that \(\frac{y^3 + z^3}{xyz} = 2\) where \(x\) is the arithmetic mean and \(y, z\) are the two geometric means between any two positive numbers \(a\) and \(b\), we can follow these steps:

### Step 1: Define the Arithmetic Mean
The arithmetic mean \(x\) of two positive numbers \(a\) and \(b\) is given by:
\[ x = \frac{a + b}{2} \]

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