Finding the Third Proportional to 2,026.69 and 2,560.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.69 : 2,560.78 = 2,560.78 : x
2. Step 2: Convert to fraction form
   2,026.69/2,560.78 = 2,560.78/x
3. Step 3: Cross multiply
   2,026.69x = 2,560.78 × 2,560.78
4. Step 4: Simplify right side
   2,026.69x = 6,557,600.61
5. Step 5: Solve for x
   x = 6,557,600.61/2,026.69
6. Step 6: Final answer
   x = 3,235.62