Finding the Third Proportional to 8,232 and 12,419

Step by Step Solution

1. Step 1: Write the proportion equation
   8,232 : 12,419 = 12,419 : x
2. Step 2: Convert to fraction form
   8,232/12,419 = 12,419/x
3. Step 3: Cross multiply
   8,232x = 12,419 × 12,419
4. Step 4: Simplify right side
   8,232x = 154,231,561
5. Step 5: Solve for x
   x = 154,231,561/8,232
6. Step 6: Final answer
   x = 18,735.61