Hit Match to 50 Ω to compute the network.
The Smith chart maps every possible complex impedance onto the unit disc of the reflection coefficient Γ = (z − 1) / (z + 1). The right edge is an open circuit, the left edge is a short, the centre is a perfect 50 Ω match.
Constant-R circles tangent to the right edge, constant-X arcs tangent at the open. Add a series reactance and your impedance walks along a constant-R circle. Add a shunt susceptance and it walks along a constant-G circle. Two such walks land you at the centre.
The chart predates digital computing — Smith drew it at Bell Labs to do impedance arithmetic graphically. Half a century later it's still the standard whiteboard for RF design.