Finding the Third Proportional to 4,458.50 and 4,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,458.50 : 4,863.50 = 4,863.50 : x
2. Step 2: Convert to fraction form
   4,458.50/4,863.50 = 4,863.50/x
3. Step 3: Cross multiply
   4,458.50x = 4,863.50 × 4,863.50
4. Step 4: Simplify right side
   4,458.50x = 23,653,632.25
5. Step 5: Solve for x
   x = 23,653,632.25/4,458.50
6. Step 6: Final answer
   x = 5,305.29