Finding the Third Proportional to 807.50 and 1,280

Step by Step Solution

1. Step 1: Write the proportion equation
   807.50 : 1,280 = 1,280 : x
2. Step 2: Convert to fraction form
   807.50/1,280 = 1,280/x
3. Step 3: Cross multiply
   807.50x = 1,280 × 1,280
4. Step 4: Simplify right side
   807.50x = 1,638,400
5. Step 5: Solve for x
   x = 1,638,400/807.50
6. Step 6: Final answer
   x = 2,028.98