Finding the Third Proportional to 8,131.50 and 17,524.13

Step by Step Solution

1. Step 1: Write the proportion equation
   8,131.50 : 17,524.13 = 17,524.13 : x
2. Step 2: Convert to fraction form
   8,131.50/17,524.13 = 17,524.13/x
3. Step 3: Cross multiply
   8,131.50x = 17,524.13 × 17,524.13
4. Step 4: Simplify right side
   8,131.50x = 307,094,957.02
5. Step 5: Solve for x
   x = 307,094,957.02/8,131.50
6. Step 6: Final answer
   x = 37,766.09