Finding the Third Proportional to 31,514 and 67,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,514 : 67,807.50 = 67,807.50 : x
2. Step 2: Convert to fraction form
   31,514/67,807.50 = 67,807.50/x
3. Step 3: Cross multiply
   31,514x = 67,807.50 × 67,807.50
4. Step 4: Simplify right side
   31,514x = 4,597,857,056.25
5. Step 5: Solve for x
   x = 4,597,857,056.25/31,514
6. Step 6: Final answer
   x = 145,898.87