Finding the Third Proportional to 32,966 and 52,414

Step by Step Solution

1. Step 1: Write the proportion equation
   32,966 : 52,414 = 52,414 : x
2. Step 2: Convert to fraction form
   32,966/52,414 = 52,414/x
3. Step 3: Cross multiply
   32,966x = 52,414 × 52,414
4. Step 4: Simplify right side
   32,966x = 2,747,227,396
5. Step 5: Solve for x
   x = 2,747,227,396/32,966
6. Step 6: Final answer
   x = 83,335.18