Finding the Third Proportional to 5,680.13 and 12,442.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,680.13 : 12,442.78 = 12,442.78 : x
2. Step 2: Convert to fraction form
   5,680.13/12,442.78 = 12,442.78/x
3. Step 3: Cross multiply
   5,680.13x = 12,442.78 × 12,442.78
4. Step 4: Simplify right side
   5,680.13x = 154,822,805.24
5. Step 5: Solve for x
   x = 154,822,805.24/5,680.13
6. Step 6: Final answer
   x = 27,256.94