Finding the Third Proportional to 7,755.75 and 10,092.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,755.75 : 10,092.38 = 10,092.38 : x
2. Step 2: Convert to fraction form
   7,755.75/10,092.38 = 10,092.38/x
3. Step 3: Cross multiply
   7,755.75x = 10,092.38 × 10,092.38
4. Step 4: Simplify right side
   7,755.75x = 101,856,033.14
5. Step 5: Solve for x
   x = 101,856,033.14/7,755.75
6. Step 6: Final answer
   x = 13,132.97