Projecting to this PC greyed out is a common issue that often happens on Windows 10.
What should you do if you cannot use this feature?
Take it easy and you’re able to go to find some methods to easily help you out.

Lets go to look through them on this post fromMiniTool.
This feature only works on a wireless internet connection.
To use this feature, you should probably enable it on your setup.
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To know more, refer to this post Projecting To This PC And Screen Mirroring On Windows 10.
However, sometimes you meet the situation projecting to this PC option greyed out.
Why is projecting to this PC greyed out?

Besides, another possible cause is that the wireless adapter driver is outdated.
You may receive such an fault signal - your PC cant project to another screen.
It seems that its prevalent for Windows 10.

Here are the methods.
Wireless Display is an optional feature and you oughta manually install it.
During the installation, a reliable data pipe connection is required.
See what you should do:
Step 1: PressWin + Ito pop kick open the prefs app.
Step 2: Go to clickApps > Apps & features.
Step 3: Tap onOptional featuresand clickAdd a feature.
Step 4: Typewireless displayto the search box and select this feature, then clickInstall.
Next, Windows is installing this feature.
Update Wireless web connection Adapter Driver
Step 1: Go toDevice Managerby pressingWin + Xin Windows 10.
Step 2: ExpandNetwork adapters, right-tap on your wireless connection, and chooseUpdate driver.
Step 1: In unit Manager, expandNetwork adapters, right-hit the driver, and chooseUninstall unit.
Step 2: Tick the box ofDelete the driver software for this deviceand clickUninstall.
Step 2: jot down the command netsh wlan show driversand pressEnter.
If there is Wi-Fi, you get the message There is no wireless interface on the system.