Finding the Third Proportional to 8,370 and 12,267

Step by Step Solution

1. Step 1: Write the proportion equation
   8,370 : 12,267 = 12,267 : x
2. Step 2: Convert to fraction form
   8,370/12,267 = 12,267/x
3. Step 3: Cross multiply
   8,370x = 12,267 × 12,267
4. Step 4: Simplify right side
   8,370x = 150,479,289
5. Step 5: Solve for x
   x = 150,479,289/8,370
6. Step 6: Final answer
   x = 17,978.41