Finding the Third Proportional to 1,132.50 and 2,560.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.50 : 2,560.13 = 2,560.13 : x
2. Step 2: Convert to fraction form
   1,132.50/2,560.13 = 2,560.13/x
3. Step 3: Cross multiply
   1,132.50x = 2,560.13 × 2,560.13
4. Step 4: Simplify right side
   1,132.50x = 6,554,240.02
5. Step 5: Solve for x
   x = 6,554,240.02/1,132.50
6. Step 6: Final answer
   x = 5,787.41