[c#] Call parent method from child class c#

One way to do this would be to pass the instance of ParentClass to the ChildClass on construction

public ChildClass
{
    private ParentClass parent;

    public ChildClass(ParentClass parent)
    {
        this.parent = parent;
    }

    public void LoadData(DateTable dt)
    {
       // do something
       parent.CurrentRow++; // or whatever.
       parent.UpdateProgressBar(); // Call the method
    }
}

Make sure to pass the reference to this when constructing ChildClass inside parent:

if(loadData){

     ChildClass childClass = new ChildClass(this); // here

     childClass.LoadData(this.Datatable);

}

Caveat: This is probably not the best way to organise your classes, but it directly answers your question.

EDIT: In the comments you mention that more than 1 parent class wants to use ChildClass. This is possible with the introduction of an interface, eg:

public interface IParentClass
{
    void UpdateProgressBar();
    int CurrentRow{get; set;}
}

Now, make sure to implement that interface on both (all?) Parent Classes and change child class to this:

public ChildClass
{
    private IParentClass parent;

    public ChildClass(IParentClass parent)
    {
        this.parent = parent;
    }

    public void LoadData(DateTable dt)
    {
       // do something
       parent.CurrentRow++; // or whatever.
       parent.UpdateProgressBar(); // Call the method
    }
}

Now anything that implements IParentClass can construct an instance of ChildClass and pass this to its constructor.