Finding the Third Proportional to 31,684 and 67,238

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684 : 67,238 = 67,238 : x
2. Step 2: Convert to fraction form
   31,684/67,238 = 67,238/x
3. Step 3: Cross multiply
   31,684x = 67,238 × 67,238
4. Step 4: Simplify right side
   31,684x = 4,520,948,644
5. Step 5: Solve for x
   x = 4,520,948,644/31,684
6. Step 6: Final answer
   x = 142,688.70