Finding the Third Proportional to 22,638 and 33,147

Step by Step Solution

1. Step 1: Write the proportion equation
   22,638 : 33,147 = 33,147 : x
2. Step 2: Convert to fraction form
   22,638/33,147 = 33,147/x
3. Step 3: Cross multiply
   22,638x = 33,147 × 33,147
4. Step 4: Simplify right side
   22,638x = 1,098,723,609
5. Step 5: Solve for x
   x = 1,098,723,609/22,638
6. Step 6: Final answer
   x = 48,534.48