Finding the Third Proportional to 2,478.19 and 5,442.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.19 : 5,442.38 = 5,442.38 : x
2. Step 2: Convert to fraction form
   2,478.19/5,442.38 = 5,442.38/x
3. Step 3: Cross multiply
   2,478.19x = 5,442.38 × 5,442.38
4. Step 4: Simplify right side
   2,478.19x = 29,619,445.64
5. Step 5: Solve for x
   x = 29,619,445.64/2,478.19
6. Step 6: Final answer
   x = 11,952.06