Finding the Third Proportional to 22,496 and 33,638

Step by Step Solution

1. Step 1: Write the proportion equation
   22,496 : 33,638 = 33,638 : x
2. Step 2: Convert to fraction form
   22,496/33,638 = 33,638/x
3. Step 3: Cross multiply
   22,496x = 33,638 × 33,638
4. Step 4: Simplify right side
   22,496x = 1,131,515,044
5. Step 5: Solve for x
   x = 1,131,515,044/22,496
6. Step 6: Final answer
   x = 50,298.50