Finding the Third Proportional to 683.50 and 1,040

Step by Step Solution

1. Step 1: Write the proportion equation
   683.50 : 1,040 = 1,040 : x
2. Step 2: Convert to fraction form
   683.50/1,040 = 1,040/x
3. Step 3: Cross multiply
   683.50x = 1,040 × 1,040
4. Step 4: Simplify right side
   683.50x = 1,081,600
5. Step 5: Solve for x
   x = 1,081,600/683.50
6. Step 6: Final answer
   x = 1,582.44