Finding the Third Proportional to 31,505.25 and 68,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,505.25 : 68,788.50 = 68,788.50 : x
2. Step 2: Convert to fraction form
   31,505.25/68,788.50 = 68,788.50/x
3. Step 3: Cross multiply
   31,505.25x = 68,788.50 × 68,788.50
4. Step 4: Simplify right side
   31,505.25x = 4,731,857,732.25
5. Step 5: Solve for x
   x = 4,731,857,732.25/31,505.25
6. Step 6: Final answer
   x = 150,192.67