Re-arranging Elements In List(Of T)?

I got a list of objects. Each object has a property called Z (integer).There will come a point during run-time I will want to re-arrange such objects in my list depending on their Z property. The objects with lower Z go first in the list, and the ones with higher will go last.I have thought of a couple things, like making a new List, then loop through each object in the original list as many times as the amount of objects such list has (so if it has 10 objects, I would loop 100 times), and each iteration will check the Z values. When a cycle is done (for every 10 iterations), I will remove the object with the lowest Z number in cycle and add it to the new List. And so on until the 100 iterations are done.