Finding the Third Proportional to 10,686 and 12,162

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 12,162 = 12,162 : x
2. Step 2: Convert to fraction form
   10,686/12,162 = 12,162/x
3. Step 3: Cross multiply
   10,686x = 12,162 × 12,162
4. Step 4: Simplify right side
   10,686x = 147,914,244
5. Step 5: Solve for x
   x = 147,914,244/10,686
6. Step 6: Final answer
   x = 13,841.87