Finding the Third Proportional to 3,288 and 3,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,288 : 3,976.50 = 3,976.50 : x
2. Step 2: Convert to fraction form
   3,288/3,976.50 = 3,976.50/x
3. Step 3: Cross multiply
   3,288x = 3,976.50 × 3,976.50
4. Step 4: Simplify right side
   3,288x = 15,812,552.25
5. Step 5: Solve for x
   x = 15,812,552.25/3,288
6. Step 6: Final answer
   x = 4,809.17