Finding the Third Proportional to 22,414 and 32,569

Step by Step Solution

1. Step 1: Write the proportion equation
   22,414 : 32,569 = 32,569 : x
2. Step 2: Convert to fraction form
   22,414/32,569 = 32,569/x
3. Step 3: Cross multiply
   22,414x = 32,569 × 32,569
4. Step 4: Simplify right side
   22,414x = 1,060,739,761
5. Step 5: Solve for x
   x = 1,060,739,761/22,414
6. Step 6: Final answer
   x = 47,324.88