Finding the Third Proportional to 5,774.25 and 12,411.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,774.25 : 12,411.38 = 12,411.38 : x
2. Step 2: Convert to fraction form
   5,774.25/12,411.38 = 12,411.38/x
3. Step 3: Cross multiply
   5,774.25x = 12,411.38 × 12,411.38
4. Step 4: Simplify right side
   5,774.25x = 154,042,229.39
5. Step 5: Solve for x
   x = 154,042,229.39/5,774.25
6. Step 6: Final answer
   x = 26,677.44