Finding the Third Proportional to 2,469.38 and 5,902.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.38 : 5,902.31 = 5,902.31 : x
2. Step 2: Convert to fraction form
   2,469.38/5,902.31 = 5,902.31/x
3. Step 3: Cross multiply
   2,469.38x = 5,902.31 × 5,902.31
4. Step 4: Simplify right side
   2,469.38x = 34,837,292.85
5. Step 5: Solve for x
   x = 34,837,292.85/2,469.38
6. Step 6: Final answer
   x = 14,107.74