Finding the Third Proportional to 2,446.88 and 3,778.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,446.88 : 3,778.31 = 3,778.31 : x
2. Step 2: Convert to fraction form
   2,446.88/3,778.31 = 3,778.31/x
3. Step 3: Cross multiply
   2,446.88x = 3,778.31 × 3,778.31
4. Step 4: Simplify right side
   2,446.88x = 14,275,645.35
5. Step 5: Solve for x
   x = 14,275,645.35/2,446.88
6. Step 6: Final answer
   x = 5,834.24