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Let the total weight of the mixture = m gram

mass of glycerol = 50% of m = 0.5m gram
density of glycerol =  1.36 g/cc
volume of glycerol = 0.5m/1.36 cc

mass of water = 50% of m = 0.5m gram
density of water =  1 g/cc
volume of glycerol = 0.5m/1 cc = 0.5m cc

total volume = 0.5m + (0.5m/1.36)
                   = 0.5m(1+1/1.36)
                   = 0.5m(1.735)
                   =0.8675m cc

Density of mixture = mass/volume
                           = m/0.8675m
                           = 1.15 g/cc