Finding the Third Proportional to 5,789.25 and 12,216.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,789.25 : 12,216.38 = 12,216.38 : x
2. Step 2: Convert to fraction form
   5,789.25/12,216.38 = 12,216.38/x
3. Step 3: Cross multiply
   5,789.25x = 12,216.38 × 12,216.38
4. Step 4: Simplify right side
   5,789.25x = 149,239,818.14
5. Step 5: Solve for x
   x = 149,239,818.14/5,789.25
6. Step 6: Final answer
   x = 25,778.78