Finding the Third Proportional to 10,678 and 17,682

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678 : 17,682 = 17,682 : x
2. Step 2: Convert to fraction form
   10,678/17,682 = 17,682/x
3. Step 3: Cross multiply
   10,678x = 17,682 × 17,682
4. Step 4: Simplify right side
   10,678x = 312,653,124
5. Step 5: Solve for x
   x = 312,653,124/10,678
6. Step 6: Final answer
   x = 29,280.12