Finding the Third Proportional to 5,414 and 10,144

Step by Step Solution

1. Step 1: Write the proportion equation
   5,414 : 10,144 = 10,144 : x
2. Step 2: Convert to fraction form
   5,414/10,144 = 10,144/x
3. Step 3: Cross multiply
   5,414x = 10,144 × 10,144
4. Step 4: Simplify right side
   5,414x = 102,900,736
5. Step 5: Solve for x
   x = 102,900,736/5,414
6. Step 6: Final answer
   x = 19,006.42