Finding the Third Proportional to 2,562.75 and 5,640.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.75 : 5,640.25 = 5,640.25 : x
2. Step 2: Convert to fraction form
   2,562.75/5,640.25 = 5,640.25/x
3. Step 3: Cross multiply
   2,562.75x = 5,640.25 × 5,640.25
4. Step 4: Simplify right side
   2,562.75x = 31,812,420.06
5. Step 5: Solve for x
   x = 31,812,420.06/2,562.75
6. Step 6: Final answer
   x = 12,413.39