Finding the Third Proportional to 21,504 and 50,256

Step by Step Solution

1. Step 1: Write the proportion equation
   21,504 : 50,256 = 50,256 : x
2. Step 2: Convert to fraction form
   21,504/50,256 = 50,256/x
3. Step 3: Cross multiply
   21,504x = 50,256 × 50,256
4. Step 4: Simplify right side
   21,504x = 2,525,665,536
5. Step 5: Solve for x
   x = 2,525,665,536/21,504
6. Step 6: Final answer
   x = 117,450.96