Finding the Third Proportional to 831.50 and 1,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   831.50 : 1,410.25 = 1,410.25 : x
2. Step 2: Convert to fraction form
   831.50/1,410.25 = 1,410.25/x
3. Step 3: Cross multiply
   831.50x = 1,410.25 × 1,410.25
4. Step 4: Simplify right side
   831.50x = 1,988,805.06
5. Step 5: Solve for x
   x = 1,988,805.06/831.50
6. Step 6: Final answer
   x = 2,391.83