打的 is a colloquial verb-object compound meaning 'to take a taxi'. It comes from 打 ('to get/hire') + 的 (a contraction of 的士, the Mandarin transliteration of 'taxi'). Because it's a separable verb (离合词), you can insert elements like time, measure words, or complements between 打 and 的 — for example, 打了一次的 ('took a taxi once'), 打到的 ('managed to get a taxi'). In everyday speech, 打车 (dǎ chē) is also very common and interchangeable; 打的 sounds a bit more sophisticated or southern-influenced.