Finding the Third Proportional to 2,566.50 and 3,792.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.50 : 3,792.75 = 3,792.75 : x
2. Step 2: Convert to fraction form
   2,566.50/3,792.75 = 3,792.75/x
3. Step 3: Cross multiply
   2,566.50x = 3,792.75 × 3,792.75
4. Step 4: Simplify right side
   2,566.50x = 14,384,952.56
5. Step 5: Solve for x
   x = 14,384,952.56/2,566.50
6. Step 6: Final answer
   x = 5,604.89