how to install TWRP (team win recovery pro) to your MI3

download the following files.

https://dl.twrp.me/cancro/twrp-3.0.2-0-cancro.img.html (twrp.img)

https://androiddatahost.com/265a2 (tools to flash via fastboot)

Extract minimal_adb_fastboot_v1.3.1.zip and install

after that copy twrp-3.0.2-0-cancro in the folder location where adb installed and rename it as twrp.img 

usually C:\Program Files (x86)\Minimal ADB and Fastboot

go to fastboot mode of your MI3 phone, press power and volume down

if you see the logo of android connect your phone into your computer.

go to C:\Program Files (x86)\Minimal ADB and Fastboot click shift + right click and click "Open command window here"

Type 

fastboot devices

if you see device appear the computer successfully see your device.

then type

fastboot flash recovery twrp.img

done! go to your recovery mode.