Finding the Third Proportional to 10,686 and 18,216

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 18,216 = 18,216 : x
2. Step 2: Convert to fraction form
   10,686/18,216 = 18,216/x
3. Step 3: Cross multiply
   10,686x = 18,216 × 18,216
4. Step 4: Simplify right side
   10,686x = 331,822,656
5. Step 5: Solve for x
   x = 331,822,656/10,686
6. Step 6: Final answer
   x = 31,052.09