BUG: transpose casts mixed dtypes to object
- [x] closes #43337
- [x] tests added / passed
- [x] Ensure all linting tests pass, see [here](https://pandas.pydata.org/pandas-docs/dev/development/contributing.html#code-standards) for how to run them
- [x] whatsnew entry

All the failures are from the below two, not sure why .These are passing in some cases (also in my local). 
Would be really helpful if someone can point me to the correct direction.
```
FAILED pandas/tests/frame/methods/test_transpose.py::TestTranspose::test_transpose_tzaware_2col_mixed_tz
FAILED pandas/tests/frame/methods/test_transpose.py::TestTranspose::test_transpose_object_to_tzaware_mixed_tz > All the failures are from the below two, not sure why .These are passing in some cases (also in my local).
> Would be really helpful if someone can point me to the correct direction.
> 
> ```
> FAILED pandas/tests/frame/methods/test_transpose.py::TestTranspose::test_transpose_tzaware_2col_mixed_tz
> FAILED pandas/tests/frame/methods/test_transpose.py::TestTranspose::test_transpose_object_to_tzaware_mixed_tz
> ```

Based on a quick look, initial guess might be different `numpy` versions. Maybe try using the same `numpy` version as one of the failing builds (or just see if you can reproduce with an matching requirements file, which you can find at `pandas/ci/deps`) > test_transpose_tzaware_2col_mixed_tz

Best guess is something weird is going on with find_common_type between dt64tz[US/Eastern] and dt64tz[US/Pacific].  I think find_common_type should return object, but in some places we pretend that the common type is dt64tz[UTC] ok if you can merge master will look again this very likley changes a number of tests you will have to edit those This pull request is stale because it has been open for thirty days with no activity. Please update or respond to this comment if you're still interested in working on this. status of this? sorry, was not able to give time into this.. 
will take a look again, sorry for the delay Thanks @debnathshoham but appears this PR has gone stale. When you have the time feel free to merge master and we can reopen. Closing for now.