Finding the Third Proportional to 10,614 and 14,151

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614 : 14,151 = 14,151 : x
2. Step 2: Convert to fraction form
   10,614/14,151 = 14,151/x
3. Step 3: Cross multiply
   10,614x = 14,151 × 14,151
4. Step 4: Simplify right side
   10,614x = 200,250,801
5. Step 5: Solve for x
   x = 200,250,801/10,614
6. Step 6: Final answer
   x = 18,866.67