Finding the Third Proportional to 41,136 and 45,456

Step by Step Solution

1. Step 1: Write the proportion equation
   41,136 : 45,456 = 45,456 : x
2. Step 2: Convert to fraction form
   41,136/45,456 = 45,456/x
3. Step 3: Cross multiply
   41,136x = 45,456 × 45,456
4. Step 4: Simplify right side
   41,136x = 2,066,247,936
5. Step 5: Solve for x
   x = 2,066,247,936/41,136
6. Step 6: Final answer
   x = 50,229.68