Finding the Third Proportional to 5,442.59 and 8,142.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,442.59 : 8,142.78 = 8,142.78 : x
2. Step 2: Convert to fraction form
   5,442.59/8,142.78 = 8,142.78/x
3. Step 3: Cross multiply
   5,442.59x = 8,142.78 × 8,142.78
4. Step 4: Simplify right side
   5,442.59x = 66,304,886.49
5. Step 5: Solve for x
   x = 66,304,886.49/5,442.59
6. Step 6: Final answer
   x = 12,182.59