Finding the Third Proportional to 2,557.69 and 3,949.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.69 : 3,949.88 = 3,949.88 : x
2. Step 2: Convert to fraction form
   2,557.69/3,949.88 = 3,949.88/x
3. Step 3: Cross multiply
   2,557.69x = 3,949.88 × 3,949.88
4. Step 4: Simplify right side
   2,557.69x = 15,601,512.52
5. Step 5: Solve for x
   x = 15,601,512.52/2,557.69
6. Step 6: Final answer
   x = 6,099.85