Finding the Third Proportional to 2,542.59 and 5,358.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.59 : 5,358.56 = 5,358.56 : x
2. Step 2: Convert to fraction form
   2,542.59/5,358.56 = 5,358.56/x
3. Step 3: Cross multiply
   2,542.59x = 5,358.56 × 5,358.56
4. Step 4: Simplify right side
   2,542.59x = 28,714,192.07
5. Step 5: Solve for x
   x = 28,714,192.07/2,542.59
6. Step 6: Final answer
   x = 11,293.27