Put `lt `or `gt` symbol in box:
`36742 square 36876`

Answer

To determine whether 36742 is less than or greater than 36876, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**: We have two numbers: 36742 and 36876.

2. **Compare the Numbers**: Start comparing the numbers from the leftmost digit (the highest place value).

3. **Compare the First Digits**:
- The first digit of 36742 is 3.
- The first digit of 36876 is also 3.
- Since both digits are the same, we move to the next digit.

4. **Compare the Second Digits**:
- The second digit of 36742 is 6.
- The second digit of 36876 is also 6.
- Again, both digits are the same, so we move to the next digit.

5. **Compare the Third Digits**:
- The third digit of 36742 is 7.
- The third digit of 36876 is 8.
- Here, 7 is less than 8.

6. **Conclusion**: Since the third digit of 36742 (which is 7) is less than the third digit of 36876 (which is 8), we can conclude that 36742 is less than 36876.

7. **Final Answer**: Therefore, we put the less than symbol (`<`) in the box:
- 36742 < 36876.