Finding the Third Proportional to 21,870 and 33,771

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870 : 33,771 = 33,771 : x
2. Step 2: Convert to fraction form
   21,870/33,771 = 33,771/x
3. Step 3: Cross multiply
   21,870x = 33,771 × 33,771
4. Step 4: Simplify right side
   21,870x = 1,140,480,441
5. Step 5: Solve for x
   x = 1,140,480,441/21,870
6. Step 6: Final answer
   x = 52,148.17