Craftsman 21in push mower 247.38903 blade adapter

Hi i have a question about my craftsman 21in push mower. Im going to buy a new blade adapter for it and the part number for the blade adapter is 748-04096 but I found this blade adapter for a MTD and its part number is 753-0588 will this blade adapter fit my mower. Please let me know. Thanks

It looks like they are for different size diameter crankshafts. the 753-0588 looks like a 7/8 were as the 748-04096 is 25mm