Finding the Third Proportional to 381.59 and 831.52

Step by Step Solution

1. Step 1: Write the proportion equation
   381.59 : 831.52 = 831.52 : x
2. Step 2: Convert to fraction form
   381.59/831.52 = 831.52/x
3. Step 3: Cross multiply
   381.59x = 831.52 × 831.52
4. Step 4: Simplify right side
   381.59x = 691,418.23
5. Step 5: Solve for x
   x = 691,418.23/381.59
6. Step 6: Final answer
   x = 1,811.96