To find the value of \( x \) using the geometric mean, we can interpret your request in the context of finding the geometric mean of the numbers you have provided. If we have two numbers \( a \) and \( b \), the geometric mean \( x \) can be calculated using the formula:
\[ x = \sqrt{a \cdot b} \]
From your message, it seems you provided two values, possibly intended as \( 4.2 \) and \( 3 \). I'm going to assume these are the values you want to calculate the geometric mean for.
- Calculate the geometric mean of 4.2 and 3:
\[ x = \sqrt{4.2 \cdot 3} \]
- Calculate the product:
\[ 4.2 \cdot 3 = 12.6 \]
- Calculate the square root:
\[ x = \sqrt{12.6} \approx 3.55 \]
- Round to the nearest tenth:
When rounded to the nearest tenth, \( 3.55 \) becomes \( 3.6 \).
So, the geometric mean \( x \) rounded to the nearest tenth is 3.6.