Finding the Third Proportional to 19,638 and 30,456

Step by Step Solution

1. Step 1: Write the proportion equation
   19,638 : 30,456 = 30,456 : x
2. Step 2: Convert to fraction form
   19,638/30,456 = 30,456/x
3. Step 3: Cross multiply
   19,638x = 30,456 × 30,456
4. Step 4: Simplify right side
   19,638x = 927,567,936
5. Step 5: Solve for x
   x = 927,567,936/19,638
6. Step 6: Final answer
   x = 47,233.32