Finding the Third Proportional to 2,382.50 and 3,665

Step by Step Solution

1. Step 1: Write the proportion equation
   2,382.50 : 3,665 = 3,665 : x
2. Step 2: Convert to fraction form
   2,382.50/3,665 = 3,665/x
3. Step 3: Cross multiply
   2,382.50x = 3,665 × 3,665
4. Step 4: Simplify right side
   2,382.50x = 13,432,225
5. Step 5: Solve for x
   x = 13,432,225/2,382.50
6. Step 6: Final answer
   x = 5,637.87