Finding the Third Proportional to 2,557.13 and 3,908.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.13 : 3,908.81 = 3,908.81 : x
2. Step 2: Convert to fraction form
   2,557.13/3,908.81 = 3,908.81/x
3. Step 3: Cross multiply
   2,557.13x = 3,908.81 × 3,908.81
4. Step 4: Simplify right side
   2,557.13x = 15,278,815.16
5. Step 5: Solve for x
   x = 15,278,815.16/2,557.13
6. Step 6: Final answer
   x = 5,975.00