Finding the Third Proportional to 20,472 and 32,661

Step by Step Solution

1. Step 1: Write the proportion equation
   20,472 : 32,661 = 32,661 : x
2. Step 2: Convert to fraction form
   20,472/32,661 = 32,661/x
3. Step 3: Cross multiply
   20,472x = 32,661 × 32,661
4. Step 4: Simplify right side
   20,472x = 1,066,740,921
5. Step 5: Solve for x
   x = 1,066,740,921/20,472
6. Step 6: Final answer
   x = 52,107.31