Peter III, of the Cappai de Bas family, was the Giudice of Arborea, reigning from 1335 CE until his death in 1347 CE. He was the son and successor of Hugh II assumed the throne on his father's death.
Peter married Constance (died 18 February 1348), daughter of Thomas II of Saluzzo, towards 1326. He reigned in the shadow of his chancellor, Guido Cattaneo, Archbishop of Arborea, and the doctor of civil and penal law, Filippo Mameli, a canon of Tramatza.
When Alfonso died in 1336, Peter's brother Marianus paid homage to Peter IV of Aragon on his behalf. On 22 September 1343, he obtained from Pope Clement IV permission to found a monastery of the Clarisse.