Finding the Third Proportional to 2,567.20 and 5,596.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.20 : 5,596.78 = 5,596.78 : x
2. Step 2: Convert to fraction form
   2,567.20/5,596.78 = 5,596.78/x
3. Step 3: Cross multiply
   2,567.20x = 5,596.78 × 5,596.78
4. Step 4: Simplify right side
   2,567.20x = 31,323,960.36
5. Step 5: Solve for x
   x = 31,323,960.36/2,567.20
6. Step 6: Final answer
   x = 12,201.59