Finding the Third Proportional to 686.50 and 1,504

Step by Step Solution

1. Step 1: Write the proportion equation
   686.50 : 1,504 = 1,504 : x
2. Step 2: Convert to fraction form
   686.50/1,504 = 1,504/x
3. Step 3: Cross multiply
   686.50x = 1,504 × 1,504
4. Step 4: Simplify right side
   686.50x = 2,262,016
5. Step 5: Solve for x
   x = 2,262,016/686.50
6. Step 6: Final answer
   x = 3,295.00