Finding the Third Proportional to 10,228 and 16,424

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228 : 16,424 = 16,424 : x
2. Step 2: Convert to fraction form
   10,228/16,424 = 16,424/x
3. Step 3: Cross multiply
   10,228x = 16,424 × 16,424
4. Step 4: Simplify right side
   10,228x = 269,747,776
5. Step 5: Solve for x
   x = 269,747,776/10,228
6. Step 6: Final answer
   x = 26,373.46