Finding the Third Proportional to 683.50 and 996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   683.50 : 996.50 = 996.50 : x
2. Step 2: Convert to fraction form
   683.50/996.50 = 996.50/x
3. Step 3: Cross multiply
   683.50x = 996.50 × 996.50
4. Step 4: Simplify right side
   683.50x = 993,012.25
5. Step 5: Solve for x
   x = 993,012.25/683.50
6. Step 6: Final answer
   x = 1,452.83