Finding the Third Proportional to 31,404 and 68,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,404 : 68,356.50 = 68,356.50 : x
2. Step 2: Convert to fraction form
   31,404/68,356.50 = 68,356.50/x
3. Step 3: Cross multiply
   31,404x = 68,356.50 × 68,356.50
4. Step 4: Simplify right side
   31,404x = 4,672,611,092.25
5. Step 5: Solve for x
   x = 4,672,611,092.25/31,404
6. Step 6: Final answer
   x = 148,790.32