Finding the Third Proportional to 7,787.98 and 17,132.92

Step by Step Solution

1. Step 1: Write the proportion equation
   7,787.98 : 17,132.92 = 17,132.92 : x
2. Step 2: Convert to fraction form
   7,787.98/17,132.92 = 17,132.92/x
3. Step 3: Cross multiply
   7,787.98x = 17,132.92 × 17,132.92
4. Step 4: Simplify right side
   7,787.98x = 293,537,078.90
5. Step 5: Solve for x
   x = 293,537,078.90/7,787.98
6. Step 6: Final answer
   x = 37,691.02