Finding the Third Proportional to 7,572.38 and 17,687.81

Step by Step Solution

1. Step 1: Write the proportion equation
   7,572.38 : 17,687.81 = 17,687.81 : x
2. Step 2: Convert to fraction form
   7,572.38/17,687.81 = 17,687.81/x
3. Step 3: Cross multiply
   7,572.38x = 17,687.81 × 17,687.81
4. Step 4: Simplify right side
   7,572.38x = 312,858,711.04
5. Step 5: Solve for x
   x = 312,858,711.04/7,572.38
6. Step 6: Final answer
   x = 41,315.80