The complete balanced chemical reaction for this would be:
NaOH + C3H6O3 --> NaC3H5O3 + H2O
So we see that exactly 1 mole of NaOH reacts with 1 mole of lactic acid.
Calculate moles of NaOH.
moles NaOH = 0.07 moles/L * 0.0268 L
moles NaOH = 1.876 x 10^-3 mol
So,
moles C3H6O3 = 1.876 x 10^-3 mol
The molar mass of lactic acid is 90.08 g/mol so the mass is:
mass C3H6O3 = (1.876 x 10^-3 mol) * 90.08 g/mol
mass C3H6O3 = 0.169 g