Finding the Third Proportional to 10,635 and 12,267

Step by Step Solution

1. Step 1: Write the proportion equation
   10,635 : 12,267 = 12,267 : x
2. Step 2: Convert to fraction form
   10,635/12,267 = 12,267/x
3. Step 3: Cross multiply
   10,635x = 12,267 × 12,267
4. Step 4: Simplify right side
   10,635x = 150,479,289
5. Step 5: Solve for x
   x = 150,479,289/10,635
6. Step 6: Final answer
   x = 14,149.44