Finding the Third Proportional to 8,092.13 and 17,655.31

Step by Step Solution

1. Step 1: Write the proportion equation
   8,092.13 : 17,655.31 = 17,655.31 : x
2. Step 2: Convert to fraction form
   8,092.13/17,655.31 = 17,655.31/x
3. Step 3: Cross multiply
   8,092.13x = 17,655.31 × 17,655.31
4. Step 4: Simplify right side
   8,092.13x = 311,710,059.47
5. Step 5: Solve for x
   x = 311,710,059.47/8,092.13
6. Step 6: Final answer
   x = 38,520.17