Finding the Third Proportional to 7,500.09 and 17,682.05

Step by Step Solution

1. Step 1: Write the proportion equation
   7,500.09 : 17,682.05 = 17,682.05 : x
2. Step 2: Convert to fraction form
   7,500.09/17,682.05 = 17,682.05/x
3. Step 3: Cross multiply
   7,500.09x = 17,682.05 × 17,682.05
4. Step 4: Simplify right side
   7,500.09x = 312,654,781.69
5. Step 5: Solve for x
   x = 312,654,781.69/7,500.09
6. Step 6: Final answer
   x = 41,686.78