Finding the Third Proportional to 10,540 and 14,144

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 14,144 = 14,144 : x
2. Step 2: Convert to fraction form
   10,540/14,144 = 14,144/x
3. Step 3: Cross multiply
   10,540x = 14,144 × 14,144
4. Step 4: Simplify right side
   10,540x = 200,052,736
5. Step 5: Solve for x
   x = 200,052,736/10,540
6. Step 6: Final answer
   x = 18,980.34