If 9.9 : x :: x : 27.5, and x > 0, then find the value of x.

Step 1: Use the property of proportion.
The product of the means equals the product of the extremes.
x × x = 9.9 × 27.5

Step 2: Calculate the product.
x² = 272.25

Step 3: Find the square root.
Since x > 0, take the positive square root:
x = √272.25 = 16.5

Final Answer: Option 1