Our simple take on the Polynesian cocktail calls for lime juice, dark and light rum, orange liqueur, and orgeat, a simple syrup that contains blanched almonds, orange blossom water, and brandy. You can buy orgeat at the store, but we love a homemade batch. (Get our orgeat recipe here.) Once you have your Mai Tai ingredients lined up, just combine in a shaker filled with ice, shake, and strain into a tall, ice-filled glass. We garnished our libation with a pineapple wedge and a fun drink umbrella.