Finding the Third Proportional to 829.97 and 1,081.69

Step by Step Solution

1. Step 1: Write the proportion equation
   829.97 : 1,081.69 = 1,081.69 : x
2. Step 2: Convert to fraction form
   829.97/1,081.69 = 1,081.69/x
3. Step 3: Cross multiply
   829.97x = 1,081.69 × 1,081.69
4. Step 4: Simplify right side
   829.97x = 1,170,047.85
5. Step 5: Solve for x
   x = 1,170,047.85/829.97
6. Step 6: Final answer
   x = 1,409.75