Finding the Third Proportional to 5,778.84 and 12,115.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,778.84 : 12,115.83 = 12,115.83 : x
2. Step 2: Convert to fraction form
   5,778.84/12,115.83 = 12,115.83/x
3. Step 3: Cross multiply
   5,778.84x = 12,115.83 × 12,115.83
4. Step 4: Simplify right side
   5,778.84x = 146,793,291.15
5. Step 5: Solve for x
   x = 146,793,291.15/5,778.84
6. Step 6: Final answer
   x = 25,401.84