Finding the Third Proportional to 21,857 and 33,422

Step by Step Solution

1. Step 1: Write the proportion equation
   21,857 : 33,422 = 33,422 : x
2. Step 2: Convert to fraction form
   21,857/33,422 = 33,422/x
3. Step 3: Cross multiply
   21,857x = 33,422 × 33,422
4. Step 4: Simplify right side
   21,857x = 1,117,030,084
5. Step 5: Solve for x
   x = 1,117,030,084/21,857
6. Step 6: Final answer
   x = 51,106.29