Finding the Third Proportional to 31,157 and 67,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,157 : 67,572.50 = 67,572.50 : x
2. Step 2: Convert to fraction form
   31,157/67,572.50 = 67,572.50/x
3. Step 3: Cross multiply
   31,157x = 67,572.50 × 67,572.50
4. Step 4: Simplify right side
   31,157x = 4,566,042,756.25
5. Step 5: Solve for x
   x = 4,566,042,756.25/31,157
6. Step 6: Final answer
   x = 146,549.50