Finding the Third Proportional to 31,401 and 68,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,401 : 68,998.50 = 68,998.50 : x
2. Step 2: Convert to fraction form
   31,401/68,998.50 = 68,998.50/x
3. Step 3: Cross multiply
   31,401x = 68,998.50 × 68,998.50
4. Step 4: Simplify right side
   31,401x = 4,760,793,002.25
5. Step 5: Solve for x
   x = 4,760,793,002.25/31,401
6. Step 6: Final answer
   x = 151,612.78