Finding the Third Proportional to 2,578.92 and 3,807.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.92 : 3,807.42 = 3,807.42 : x
2. Step 2: Convert to fraction form
   2,578.92/3,807.42 = 3,807.42/x
3. Step 3: Cross multiply
   2,578.92x = 3,807.42 × 3,807.42
4. Step 4: Simplify right side
   2,578.92x = 14,496,461.33
5. Step 5: Solve for x
   x = 14,496,461.33/2,578.92
6. Step 6: Final answer
   x = 5,621.13