Finding the Third Proportional to 829.25 and 1,162.31

Step by Step Solution

1. Step 1: Write the proportion equation
   829.25 : 1,162.31 = 1,162.31 : x
2. Step 2: Convert to fraction form
   829.25/1,162.31 = 1,162.31/x
3. Step 3: Cross multiply
   829.25x = 1,162.31 × 1,162.31
4. Step 4: Simplify right side
   829.25x = 1,350,970.35
5. Step 5: Solve for x
   x = 1,350,970.35/829.25
6. Step 6: Final answer
   x = 1,629.15