Finding the Third Proportional to 3,538.69 and 7,732.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 7,732.13 = 7,732.13 : x
2. Step 2: Convert to fraction form
   3,538.69/7,732.13 = 7,732.13/x
3. Step 3: Cross multiply
   3,538.69x = 7,732.13 × 7,732.13
4. Step 4: Simplify right side
   3,538.69x = 59,785,757.02
5. Step 5: Solve for x
   x = 59,785,757.02/3,538.69
6. Step 6: Final answer
   x = 16,894.90