Finding the Third Proportional to 2,567.18 and 5,255.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.18 : 5,255.79 = 5,255.79 : x
2. Step 2: Convert to fraction form
   2,567.18/5,255.79 = 5,255.79/x
3. Step 3: Cross multiply
   2,567.18x = 5,255.79 × 5,255.79
4. Step 4: Simplify right side
   2,567.18x = 27,623,318.67
5. Step 5: Solve for x
   x = 27,623,318.67/2,567.18
6. Step 6: Final answer
   x = 10,760.18