Preheat the oven to 350-degrees F.
Prepare a deep 8" round cake pan with an 8" round Silpat mat by greasing and flouring.
In a medium mixing bowl, sift the flour, baking powder and salt.
1-¾ cups all-purpose flour, 2 teaspoons baking powder, ½ teaspoon salt
In an electric mixer fitted with the whisk attachment, combine the vanilla yogurt, granulated sugar eggs, orange zest, vanilla extract and orange juice.
1 cup vanilla yogurt, 1-⅓ cups granulated sugar, ⅓ cup freshly squeezed orange juice, 3 extra large eggs, ½ teaspoon vanilla extract, 2 teaspoons grated orange zest
With the mixer on low, slowly add the flour mixture to the wet ingredients. Remove the bowl from the mixer and use a spoonula to fold the oil into the batter.
½ cup vegetable oil
Pour the batter into the prepared pan and bake for 50 minutes, or until a toothpick inserted into the middle of the cake comes out clean.
Set onto a cooling rack for 10 minutes before turning out to cool completely.