Finding the Third Proportional to 3,677.25 and 7,665

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.25 : 7,665 = 7,665 : x
2. Step 2: Convert to fraction form
   3,677.25/7,665 = 7,665/x
3. Step 3: Cross multiply
   3,677.25x = 7,665 × 7,665
4. Step 4: Simplify right side
   3,677.25x = 58,752,225
5. Step 5: Solve for x
   x = 58,752,225/3,677.25
6. Step 6: Final answer
   x = 15,977.22