Finding the Third Proportional to 13,839 and 19,419

Step by Step Solution

1. Step 1: Write the proportion equation
   13,839 : 19,419 = 19,419 : x
2. Step 2: Convert to fraction form
   13,839/19,419 = 19,419/x
3. Step 3: Cross multiply
   13,839x = 19,419 × 19,419
4. Step 4: Simplify right side
   13,839x = 377,097,561
5. Step 5: Solve for x
   x = 377,097,561/13,839
6. Step 6: Final answer
   x = 27,248.90