Finding the Third Proportional to 2,478.38 and 5,401.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.38 : 5,401.69 = 5,401.69 : x
2. Step 2: Convert to fraction form
   2,478.38/5,401.69 = 5,401.69/x
3. Step 3: Cross multiply
   2,478.38x = 5,401.69 × 5,401.69
4. Step 4: Simplify right side
   2,478.38x = 29,178,227.85
5. Step 5: Solve for x
   x = 29,178,227.85/2,478.38
6. Step 6: Final answer
   x = 11,773.13