Finding the Third Proportional to 1,682 and 3,314

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682 : 3,314 = 3,314 : x
2. Step 2: Convert to fraction form
   1,682/3,314 = 3,314/x
3. Step 3: Cross multiply
   1,682x = 3,314 × 3,314
4. Step 4: Simplify right side
   1,682x = 10,982,596
5. Step 5: Solve for x
   x = 10,982,596/1,682
6. Step 6: Final answer
   x = 6,529.49