Finding the Third Proportional to 807.80 and 1,096.27

Step by Step Solution

1. Step 1: Write the proportion equation
   807.80 : 1,096.27 = 1,096.27 : x
2. Step 2: Convert to fraction form
   807.80/1,096.27 = 1,096.27/x
3. Step 3: Cross multiply
   807.80x = 1,096.27 × 1,096.27
4. Step 4: Simplify right side
   807.80x = 1,201,798.32
5. Step 5: Solve for x
   x = 1,201,798.32/807.80
6. Step 6: Final answer
   x = 1,487.75