Finding the Third Proportional to 20,838 and 33,852

Step by Step Solution

1. Step 1: Write the proportion equation
   20,838 : 33,852 = 33,852 : x
2. Step 2: Convert to fraction form
   20,838/33,852 = 33,852/x
3. Step 3: Cross multiply
   20,838x = 33,852 × 33,852
4. Step 4: Simplify right side
   20,838x = 1,145,957,904
5. Step 5: Solve for x
   x = 1,145,957,904/20,838
6. Step 6: Final answer
   x = 54,993.66