Finding the Third Proportional to 21,105 and 33,419

Step by Step Solution

1. Step 1: Write the proportion equation
   21,105 : 33,419 = 33,419 : x
2. Step 2: Convert to fraction form
   21,105/33,419 = 33,419/x
3. Step 3: Cross multiply
   21,105x = 33,419 × 33,419
4. Step 4: Simplify right side
   21,105x = 1,116,829,561
5. Step 5: Solve for x
   x = 1,116,829,561/21,105
6. Step 6: Final answer
   x = 52,917.77