Finding the Third Proportional to 10,686 and 14,262

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 14,262 = 14,262 : x
2. Step 2: Convert to fraction form
   10,686/14,262 = 14,262/x
3. Step 3: Cross multiply
   10,686x = 14,262 × 14,262
4. Step 4: Simplify right side
   10,686x = 203,404,644
5. Step 5: Solve for x
   x = 203,404,644/10,686
6. Step 6: Final answer
   x = 19,034.69