Finding the Third Proportional to 682 and 1,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   682 : 1,210.50 = 1,210.50 : x
2. Step 2: Convert to fraction form
   682/1,210.50 = 1,210.50/x
3. Step 3: Cross multiply
   682x = 1,210.50 × 1,210.50
4. Step 4: Simplify right side
   682x = 1,465,310.25
5. Step 5: Solve for x
   x = 1,465,310.25/682
6. Step 6: Final answer
   x = 2,148.55