Finding the Third Proportional to 4,993.50 and 7,665

Step by Step Solution

1. Step 1: Write the proportion equation
   4,993.50 : 7,665 = 7,665 : x
2. Step 2: Convert to fraction form
   4,993.50/7,665 = 7,665/x
3. Step 3: Cross multiply
   4,993.50x = 7,665 × 7,665
4. Step 4: Simplify right side
   4,993.50x = 58,752,225
5. Step 5: Solve for x
   x = 58,752,225/4,993.50
6. Step 6: Final answer
   x = 11,765.74