Finding the Third Proportional to 2,557.20 and 5,592.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.20 : 5,592.80 = 5,592.80 : x
2. Step 2: Convert to fraction form
   2,557.20/5,592.80 = 5,592.80/x
3. Step 3: Cross multiply
   2,557.20x = 5,592.80 × 5,592.80
4. Step 4: Simplify right side
   2,557.20x = 31,279,376.89
5. Step 5: Solve for x
   x = 31,279,376.89/2,557.20
6. Step 6: Final answer
   x = 12,231.91