Finding the Third Proportional to 22,414 and 32,972

Step by Step Solution

1. Step 1: Write the proportion equation
   22,414 : 32,972 = 32,972 : x
2. Step 2: Convert to fraction form
   22,414/32,972 = 32,972/x
3. Step 3: Cross multiply
   22,414x = 32,972 × 32,972
4. Step 4: Simplify right side
   22,414x = 1,087,152,784
5. Step 5: Solve for x
   x = 1,087,152,784/22,414
6. Step 6: Final answer
   x = 48,503.29