Finding the Third Proportional to 3,640.50 and 7,716.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,640.50 : 7,716.38 = 7,716.38 : x
2. Step 2: Convert to fraction form
   3,640.50/7,716.38 = 7,716.38/x
3. Step 3: Cross multiply
   3,640.50x = 7,716.38 × 7,716.38
4. Step 4: Simplify right side
   3,640.50x = 59,542,443.14
5. Step 5: Solve for x
   x = 59,542,443.14/3,640.50
6. Step 6: Final answer
   x = 16,355.57