Finding the Third Proportional to 18,144 and 41,256

Step by Step Solution

1. Step 1: Write the proportion equation
   18,144 : 41,256 = 41,256 : x
2. Step 2: Convert to fraction form
   18,144/41,256 = 41,256/x
3. Step 3: Cross multiply
   18,144x = 41,256 × 41,256
4. Step 4: Simplify right side
   18,144x = 1,702,057,536
5. Step 5: Solve for x
   x = 1,702,057,536/18,144
6. Step 6: Final answer
   x = 93,808.29