Finding the Third Proportional to 2,571.25 and 5,542.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,571.25 : 5,542.75 = 5,542.75 : x
2. Step 2: Convert to fraction form
   2,571.25/5,542.75 = 5,542.75/x
3. Step 3: Cross multiply
   2,571.25x = 5,542.75 × 5,542.75
4. Step 4: Simplify right side
   2,571.25x = 30,722,077.56
5. Step 5: Solve for x
   x = 30,722,077.56/2,571.25
6. Step 6: Final answer
   x = 11,948.30