Finding the Third Proportional to 2,160 and 3,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,160 : 3,280.50 = 3,280.50 : x
2. Step 2: Convert to fraction form
   2,160/3,280.50 = 3,280.50/x
3. Step 3: Cross multiply
   2,160x = 3,280.50 × 3,280.50
4. Step 4: Simplify right side
   2,160x = 10,761,680.25
5. Step 5: Solve for x
   x = 10,761,680.25/2,160
6. Step 6: Final answer
   x = 4,982.26