The second and third density virial coefficients, B and C, of helium-3 (3He) are determined in the temperature range from 3.3 K to 13 K based on the analysis of experimental thermophysical data. The empirically fitted equations of B and C are obtained, which enable us to calculate the second and third acoustic virial coefficients, βa and RTγa, of 3He in the same temperature range. This study provides the first experiment-based values of βa and RTγa from 3.75 K to 13 K. The obtained density and acoustic virial coefficients of 3He are compared with previous experimental and theoretical studies.