Finding the Third Proportional to 2,587.78 and 3,943.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,587.78 : 3,943.69 = 3,943.69 : x
2. Step 2: Convert to fraction form
   2,587.78/3,943.69 = 3,943.69/x
3. Step 3: Cross multiply
   2,587.78x = 3,943.69 × 3,943.69
4. Step 4: Simplify right side
   2,587.78x = 15,552,671.10
5. Step 5: Solve for x
   x = 15,552,671.10/2,587.78
6. Step 6: Final answer
   x = 6,010.04