Finding the Third Proportional to 2,288 and 3,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,288 : 3,306.50 = 3,306.50 : x
2. Step 2: Convert to fraction form
   2,288/3,306.50 = 3,306.50/x
3. Step 3: Cross multiply
   2,288x = 3,306.50 × 3,306.50
4. Step 4: Simplify right side
   2,288x = 10,932,942.25
5. Step 5: Solve for x
   x = 10,932,942.25/2,288
6. Step 6: Final answer
   x = 4,778.38