Finding the Third Proportional to 1,078.31 and 2,359.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.31 : 2,359.13 = 2,359.13 : x
2. Step 2: Convert to fraction form
   1,078.31/2,359.13 = 2,359.13/x
3. Step 3: Cross multiply
   1,078.31x = 2,359.13 × 2,359.13
4. Step 4: Simplify right side
   1,078.31x = 5,565,470.77
5. Step 5: Solve for x
   x = 5,565,470.77/1,078.31
6. Step 6: Final answer
   x = 5,161.28