Finding the Third Proportional to 806 and 1,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   806 : 1,280.50 = 1,280.50 : x
2. Step 2: Convert to fraction form
   806/1,280.50 = 1,280.50/x
3. Step 3: Cross multiply
   806x = 1,280.50 × 1,280.50
4. Step 4: Simplify right side
   806x = 1,639,680.25
5. Step 5: Solve for x
   x = 1,639,680.25/806
6. Step 6: Final answer
   x = 2,034.34