Finding the Third Proportional to 2,560.88 and 4,105.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.88 : 4,105.69 = 4,105.69 : x
2. Step 2: Convert to fraction form
   2,560.88/4,105.69 = 4,105.69/x
3. Step 3: Cross multiply
   2,560.88x = 4,105.69 × 4,105.69
4. Step 4: Simplify right side
   2,560.88x = 16,856,669.85
5. Step 5: Solve for x
   x = 16,856,669.85/2,560.88
6. Step 6: Final answer
   x = 6,582.39