Finding the Third Proportional to 9,732 and 14,668

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732 : 14,668 = 14,668 : x
2. Step 2: Convert to fraction form
   9,732/14,668 = 14,668/x
3. Step 3: Cross multiply
   9,732x = 14,668 × 14,668
4. Step 4: Simplify right side
   9,732x = 215,150,224
5. Step 5: Solve for x
   x = 215,150,224/9,732
6. Step 6: Final answer
   x = 22,107.50