Finding the Third Proportional to 1,682 and 3,500

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682 : 3,500 = 3,500 : x
2. Step 2: Convert to fraction form
   1,682/3,500 = 3,500/x
3. Step 3: Cross multiply
   1,682x = 3,500 × 3,500
4. Step 4: Simplify right side
   1,682x = 12,250,000
5. Step 5: Solve for x
   x = 12,250,000/1,682
6. Step 6: Final answer
   x = 7,283.00