Finding the Third Proportional to 10,168 and 15,636

Step by Step Solution

1. Step 1: Write the proportion equation
   10,168 : 15,636 = 15,636 : x
2. Step 2: Convert to fraction form
   10,168/15,636 = 15,636/x
3. Step 3: Cross multiply
   10,168x = 15,636 × 15,636
4. Step 4: Simplify right side
   10,168x = 244,484,496
5. Step 5: Solve for x
   x = 244,484,496/10,168
6. Step 6: Final answer
   x = 24,044.50