Finding the Third Proportional to 5,874.75 and 12,233.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,874.75 : 12,233.25 = 12,233.25 : x
2. Step 2: Convert to fraction form
   5,874.75/12,233.25 = 12,233.25/x
3. Step 3: Cross multiply
   5,874.75x = 12,233.25 × 12,233.25
4. Step 4: Simplify right side
   5,874.75x = 149,652,405.56
5. Step 5: Solve for x
   x = 149,652,405.56/5,874.75
6. Step 6: Final answer
   x = 25,473.83