Finding the Third Proportional to 10,424 and 16,144

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 16,144 = 16,144 : x
2. Step 2: Convert to fraction form
   10,424/16,144 = 16,144/x
3. Step 3: Cross multiply
   10,424x = 16,144 × 16,144
4. Step 4: Simplify right side
   10,424x = 260,628,736
5. Step 5: Solve for x
   x = 260,628,736/10,424
6. Step 6: Final answer
   x = 25,002.76