Finding the Third Proportional to 10,658 and 16,682

Step by Step Solution

1. Step 1: Write the proportion equation
   10,658 : 16,682 = 16,682 : x
2. Step 2: Convert to fraction form
   10,658/16,682 = 16,682/x
3. Step 3: Cross multiply
   10,658x = 16,682 × 16,682
4. Step 4: Simplify right side
   10,658x = 278,289,124
5. Step 5: Solve for x
   x = 278,289,124/10,658
6. Step 6: Final answer
   x = 26,110.82