Finding the Third Proportional to 21,882 and 33,647

Step by Step Solution

1. Step 1: Write the proportion equation
   21,882 : 33,647 = 33,647 : x
2. Step 2: Convert to fraction form
   21,882/33,647 = 33,647/x
3. Step 3: Cross multiply
   21,882x = 33,647 × 33,647
4. Step 4: Simplify right side
   21,882x = 1,132,120,609
5. Step 5: Solve for x
   x = 1,132,120,609/21,882
6. Step 6: Final answer
   x = 51,737.53