Finding the Third Proportional to 10,436 and 16,638

Step by Step Solution

1. Step 1: Write the proportion equation
   10,436 : 16,638 = 16,638 : x
2. Step 2: Convert to fraction form
   10,436/16,638 = 16,638/x
3. Step 3: Cross multiply
   10,436x = 16,638 × 16,638
4. Step 4: Simplify right side
   10,436x = 276,823,044
5. Step 5: Solve for x
   x = 276,823,044/10,436
6. Step 6: Final answer
   x = 26,525.78