Finding the Third Proportional to 11,144 and 14,124

Step by Step Solution

1. Step 1: Write the proportion equation
   11,144 : 14,124 = 14,124 : x
2. Step 2: Convert to fraction form
   11,144/14,124 = 14,124/x
3. Step 3: Cross multiply
   11,144x = 14,124 × 14,124
4. Step 4: Simplify right side
   11,144x = 199,487,376
5. Step 5: Solve for x
   x = 199,487,376/11,144
6. Step 6: Final answer
   x = 17,900.88