Question: Who is Konrad Iii The Old's paternal grandfather?
Answer: Konrad I of Oleśnica

1340 – 10 June 1403) was a Duke of Oleśnica, Koźle and half of Bytom since 1366 and Duke of half of Ścinawa since 1397 until his death. He was the second child but only son of Duke Konrad I of Oleśnica by his second wife Euphemia, daughter of Władysław, Duke of Koźle-Bytom.