Finding the Third Proportional to 10,024 and 11,144

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 11,144 = 11,144 : x
2. Step 2: Convert to fraction form
   10,024/11,144 = 11,144/x
3. Step 3: Cross multiply
   10,024x = 11,144 × 11,144
4. Step 4: Simplify right side
   10,024x = 124,188,736
5. Step 5: Solve for x
   x = 124,188,736/10,024
6. Step 6: Final answer
   x = 12,389.14