Finding the Third Proportional to 12,738 and 19,675

Step by Step Solution

1. Step 1: Write the proportion equation
   12,738 : 19,675 = 19,675 : x
2. Step 2: Convert to fraction form
   12,738/19,675 = 19,675/x
3. Step 3: Cross multiply
   12,738x = 19,675 × 19,675
4. Step 4: Simplify right side
   12,738x = 387,105,625
5. Step 5: Solve for x
   x = 387,105,625/12,738
6. Step 6: Final answer
   x = 30,389.83