Since there is no official Microsoft "download" to add this specific tool to the 2010 version, you must use external utilities. Color Picker: Download - OfficeOne
If you are searching for the eyedropper in the "Shape Fill" or "Font Color" menus of PowerPoint 2010, it simply isn't there by design. Microsoft added this highly-requested feature in later versions to allow users to match colors from images directly within the app. Best "Downloads" for PowerPoint 2010 Color Picking eyedropper powerpoint 2010 download
While PowerPoint 2010 does not have a native eyedropper tool, you can achieve the same functionality through third-party add-ins or standalone screen pickers. The official built-in Eyedropper was first introduced in . Why You Can't Find the Native Eyedropper Since there is no official Microsoft "download" to