Finding the Third Proportional to 2,233 and 4,863.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233 : 4,863.25 = 4,863.25 : x
2. Step 2: Convert to fraction form
   2,233/4,863.25 = 4,863.25/x
3. Step 3: Cross multiply
   2,233x = 4,863.25 × 4,863.25
4. Step 4: Simplify right side
   2,233x = 23,651,200.56
5. Step 5: Solve for x
   x = 23,651,200.56/2,233
6. Step 6: Final answer
   x = 10,591.67