Finding the Third Proportional to 57,540 and 90,414

Step by Step Solution

1. Step 1: Write the proportion equation
   57,540 : 90,414 = 90,414 : x
2. Step 2: Convert to fraction form
   57,540/90,414 = 90,414/x
3. Step 3: Cross multiply
   57,540x = 90,414 × 90,414
4. Step 4: Simplify right side
   57,540x = 8,174,691,396
5. Step 5: Solve for x
   x = 8,174,691,396/57,540
6. Step 6: Final answer
   x = 142,069.71