Finding the Third Proportional to 21,782 and 33,055

Step by Step Solution

1. Step 1: Write the proportion equation
   21,782 : 33,055 = 33,055 : x
2. Step 2: Convert to fraction form
   21,782/33,055 = 33,055/x
3. Step 3: Cross multiply
   21,782x = 33,055 × 33,055
4. Step 4: Simplify right side
   21,782x = 1,092,633,025
5. Step 5: Solve for x
   x = 1,092,633,025/21,782
6. Step 6: Final answer
   x = 50,162.20