Finding the Third Proportional to 2,231.25 and 4,874.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,231.25 : 4,874.25 = 4,874.25 : x
2. Step 2: Convert to fraction form
   2,231.25/4,874.25 = 4,874.25/x
3. Step 3: Cross multiply
   2,231.25x = 4,874.25 × 4,874.25
4. Step 4: Simplify right side
   2,231.25x = 23,758,313.06
5. Step 5: Solve for x
   x = 23,758,313.06/2,231.25
6. Step 6: Final answer
   x = 10,647.98