Finding the Third Proportional to 8,684 and 14,162

Step by Step Solution

1. Step 1: Write the proportion equation
   8,684 : 14,162 = 14,162 : x
2. Step 2: Convert to fraction form
   8,684/14,162 = 14,162/x
3. Step 3: Cross multiply
   8,684x = 14,162 × 14,162
4. Step 4: Simplify right side
   8,684x = 200,562,244
5. Step 5: Solve for x
   x = 200,562,244/8,684
6. Step 6: Final answer
   x = 23,095.61