Finding the Third Proportional to 7,502.63 and 17,686.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,502.63 : 17,686.13 = 17,686.13 : x
2. Step 2: Convert to fraction form
   7,502.63/17,686.13 = 17,686.13/x
3. Step 3: Cross multiply
   7,502.63x = 17,686.13 × 17,686.13
4. Step 4: Simplify right side
   7,502.63x = 312,799,017.52
5. Step 5: Solve for x
   x = 312,799,017.52/7,502.63
6. Step 6: Final answer
   x = 41,691.94