Finding the Third Proportional to 2,578.55 and 3,866.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.55 : 3,866.41 = 3,866.41 : x
2. Step 2: Convert to fraction form
   2,578.55/3,866.41 = 3,866.41/x
3. Step 3: Cross multiply
   2,578.55x = 3,866.41 × 3,866.41
4. Step 4: Simplify right side
   2,578.55x = 14,949,089.74
5. Step 5: Solve for x
   x = 14,949,089.74/2,578.55
6. Step 6: Final answer
   x = 5,797.47