Finding the Third Proportional to 8,384 and 12,682

Step by Step Solution

1. Step 1: Write the proportion equation
   8,384 : 12,682 = 12,682 : x
2. Step 2: Convert to fraction form
   8,384/12,682 = 12,682/x
3. Step 3: Cross multiply
   8,384x = 12,682 × 12,682
4. Step 4: Simplify right side
   8,384x = 160,833,124
5. Step 5: Solve for x
   x = 160,833,124/8,384
6. Step 6: Final answer
   x = 19,183.34