Finding the Third Proportional to 5,677.59 and 12,255.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.59 : 12,255.47 = 12,255.47 : x
2. Step 2: Convert to fraction form
   5,677.59/12,255.47 = 12,255.47/x
3. Step 3: Cross multiply
   5,677.59x = 12,255.47 × 12,255.47
4. Step 4: Simplify right side
   5,677.59x = 150,196,514.28
5. Step 5: Solve for x
   x = 150,196,514.28/5,677.59
6. Step 6: Final answer
   x = 26,454.26