Finding the Third Proportional to 2,562.89 and 4,163.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.89 : 4,163.27 = 4,163.27 : x
2. Step 2: Convert to fraction form
   2,562.89/4,163.27 = 4,163.27/x
3. Step 3: Cross multiply
   2,562.89x = 4,163.27 × 4,163.27
4. Step 4: Simplify right side
   2,562.89x = 17,332,845.72
5. Step 5: Solve for x
   x = 17,332,845.72/2,562.89
6. Step 6: Final answer
   x = 6,763.01