Finding the Third Proportional to 2,007.50 and 3,727

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.50 : 3,727 = 3,727 : x
2. Step 2: Convert to fraction form
   2,007.50/3,727 = 3,727/x
3. Step 3: Cross multiply
   2,007.50x = 3,727 × 3,727
4. Step 4: Simplify right side
   2,007.50x = 13,890,529
5. Step 5: Solve for x
   x = 13,890,529/2,007.50
6. Step 6: Final answer
   x = 6,919.32