Finding the Third Proportional to 686.50 and 836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   686.50 : 836.50 = 836.50 : x
2. Step 2: Convert to fraction form
   686.50/836.50 = 836.50/x
3. Step 3: Cross multiply
   686.50x = 836.50 × 836.50
4. Step 4: Simplify right side
   686.50x = 699,732.25
5. Step 5: Solve for x
   x = 699,732.25/686.50
6. Step 6: Final answer
   x = 1,019.27