Finding the Third Proportional to 401.06 and 831.38

Step by Step Solution

1. Step 1: Write the proportion equation
   401.06 : 831.38 = 831.38 : x
2. Step 2: Convert to fraction form
   401.06/831.38 = 831.38/x
3. Step 3: Cross multiply
   401.06x = 831.38 × 831.38
4. Step 4: Simplify right side
   401.06x = 691,184.39
5. Step 5: Solve for x
   x = 691,184.39/401.06
6. Step 6: Final answer
   x = 1,723.38