Finding the Third Proportional to 831.50 and 926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   831.50 : 926.50 = 926.50 : x
2. Step 2: Convert to fraction form
   831.50/926.50 = 926.50/x
3. Step 3: Cross multiply
   831.50x = 926.50 × 926.50
4. Step 4: Simplify right side
   831.50x = 858,402.25
5. Step 5: Solve for x
   x = 858,402.25/831.50
6. Step 6: Final answer
   x = 1,032.35