Finding the Third Proportional to 57,414 and 81,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,414 : 81,655.50 = 81,655.50 : x
2. Step 2: Convert to fraction form
   57,414/81,655.50 = 81,655.50/x
3. Step 3: Cross multiply
   57,414x = 81,655.50 × 81,655.50
4. Step 4: Simplify right side
   57,414x = 6,667,620,680.25
5. Step 5: Solve for x
   x = 6,667,620,680.25/57,414
6. Step 6: Final answer
   x = 116,132.31