Finding the Third Proportional to 19,256 and 30,638

Step by Step Solution

1. Step 1: Write the proportion equation
   19,256 : 30,638 = 30,638 : x
2. Step 2: Convert to fraction form
   19,256/30,638 = 30,638/x
3. Step 3: Cross multiply
   19,256x = 30,638 × 30,638
4. Step 4: Simplify right side
   19,256x = 938,687,044
5. Step 5: Solve for x
   x = 938,687,044/19,256
6. Step 6: Final answer
   x = 48,747.77