Finding the Third Proportional to 2,557.69 and 5,103.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.69 : 5,103.56 = 5,103.56 : x
2. Step 2: Convert to fraction form
   2,557.69/5,103.56 = 5,103.56/x
3. Step 3: Cross multiply
   2,557.69x = 5,103.56 × 5,103.56
4. Step 4: Simplify right side
   2,557.69x = 26,046,350.19
5. Step 5: Solve for x
   x = 26,046,350.19/2,557.69
6. Step 6: Final answer
   x = 10,183.55