Finding the Third Proportional to 801.98 and 1,081.27

Step by Step Solution

1. Step 1: Write the proportion equation
   801.98 : 1,081.27 = 1,081.27 : x
2. Step 2: Convert to fraction form
   801.98/1,081.27 = 1,081.27/x
3. Step 3: Cross multiply
   801.98x = 1,081.27 × 1,081.27
4. Step 4: Simplify right side
   801.98x = 1,169,135.35
5. Step 5: Solve for x
   x = 1,169,135.35/801.98
6. Step 6: Final answer
   x = 1,457.80