Finding the Third Proportional to 22,632 and 34,534

Step by Step Solution

1. Step 1: Write the proportion equation
   22,632 : 34,534 = 34,534 : x
2. Step 2: Convert to fraction form
   22,632/34,534 = 34,534/x
3. Step 3: Cross multiply
   22,632x = 34,534 × 34,534
4. Step 4: Simplify right side
   22,632x = 1,192,597,156
5. Step 5: Solve for x
   x = 1,192,597,156/22,632
6. Step 6: Final answer
   x = 52,695.17