  We establish the large central charge behaviour of the entanglement
negativity for a mixed state configuration of a single interval enclosed
between two intervals in a holographic $CFT_{1+1}$. To this end we utilize the
monodromy technique to elucidate the large central charge limit of a four point
twist correlator which characterizes the negativity of the mixed state
configuration. Subsequently we analyze the large central charge limit of the
six point twist correlator which reduces to the above four point correlator in
a specific limit. The results provide a strong consistency check for our
recently proposed holographic entanglement negativity conjecture in the
$AdS_3/CFT_2$ scenario.
