Finding the Third Proportional to 4,288.50 and 4,880.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,288.50 : 4,880.25 = 4,880.25 : x
2. Step 2: Convert to fraction form
   4,288.50/4,880.25 = 4,880.25/x
3. Step 3: Cross multiply
   4,288.50x = 4,880.25 × 4,880.25
4. Step 4: Simplify right side
   4,288.50x = 23,816,840.06
5. Step 5: Solve for x
   x = 23,816,840.06/4,288.50
6. Step 6: Final answer
   x = 5,553.65