ख्या =
Desire connection/join to hollow

धातु अर्थ
at प्रकथन = प्र + कथन = प्र + कथ् + ल्युट्

रूढ अर्थ
relate, recount, tell
make known
see, appear

Comments
This धातु does not have a मकार and seems later-day addition. Only interpretation for this and कथ seems plausible in connection to written records. That must be a much later-day phenomenon.