Upon receipt of such petition, the state highway commissioner shall set a day for hearing, which shall be not less than 10 nor more than 20 days thereafter, and shall give notice thereof to each township, city and village interested or to be affected by registered letter addressed to the clerk of each such township, city and village and mailed at least 7 days before said day of hearing. The hearing shall be held at some convenient place in the county in which it is proposed to construct, rebuild or repair such bridge.