Convert the mixed number to an improper fraction, then multiply.

• \(3\frac{2}{9} \times 21\)
• \(3\frac{2}{9} = \frac{29}{9}\)
• \(\frac{29}{9} \times 21 = \frac{29 \times 21}{9} = \frac{609}{9}\)
• \(\frac{609}{9} = 67\frac{6}{9} = 67\frac{2}{3}\)

Final Answer: \(67\frac{2}{3}\)