Finding the Third Proportional to 800.82 and 1,224.18

Step by Step Solution

1. Step 1: Write the proportion equation
   800.82 : 1,224.18 = 1,224.18 : x
2. Step 2: Convert to fraction form
   800.82/1,224.18 = 1,224.18/x
3. Step 3: Cross multiply
   800.82x = 1,224.18 × 1,224.18
4. Step 4: Simplify right side
   800.82x = 1,498,606.34
5. Step 5: Solve for x
   x = 1,498,606.34/800.82
6. Step 6: Final answer
   x = 1,871.33