Finding the Third Proportional to 2,233.75 and 4,899.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233.75 : 4,899.25 = 4,899.25 : x
2. Step 2: Convert to fraction form
   2,233.75/4,899.25 = 4,899.25/x
3. Step 3: Cross multiply
   2,233.75x = 4,899.25 × 4,899.25
4. Step 4: Simplify right side
   2,233.75x = 24,002,650.56
5. Step 5: Solve for x
   x = 24,002,650.56/2,233.75
6. Step 6: Final answer
   x = 10,745.45