routing questions double nat

Our systems wireless router Model: TG4482A is the end of our equipment. since iit has a fire wall and its internal ip is 10.0.0.1 i assume it is using nat??? 

Looking at the trace below the route continues on to another private ip address "not ours".  and since it continues to the public ip i assume it uses nat also since 10.x.x.x is not routable publicly. Can someone clarify this as to whats going on? 

also we got [Edited: Language] speeds please fix it, as thats what prompted me to write so two birds with one stone affect LOL

Computing statistics for 175 seconds...
            Source to Here   This Node/Link
Hop  RTT    Lost/Sent = Pct  Lost/Sent = Pct  Address
  0                                           lenovonew.hsd1.wa.comcast.net [10.0.0.211]
                                1/ 100 =  1%   |
  1    4ms     2/ 100 =  2%     1/ 100 =  1%  10.0.0.1
                                0/ 100 =  0%   |
  2  ---     100/ 100 =100%    99/ 100 = 99%  10.61.243.130
                                0/ 100 =  0%   |
  3   14ms     1/ 100 =  1%     0/ 100 =  0%  po-312-315-rur301.everett.wa.seattle.comcast.net [24.153.84.237]
                                0/ 100 =  0%   |
  4   14ms     1/ 100 =  1%     0/ 100 =  0%  po-2-rur302.everett.wa.seattle.comcast.net [69.139.162.214]
                                0/ 100 =  0%   |
  5   14ms     1/ 100 =  1%     0/ 100 =  0%  po-300-xar02.everett.wa.seattle.comcast.net [69.139.160.245]
                                0/ 100 =  0%   |
  6   15ms     1/ 100 =  1%     0/ 100 =  0%  be-301-arsc1.seattle.wa.seattle.comcast.net [24.124.128.249]
                                1/ 100 =  1%   |
  7   16ms     2/ 100 =  2%     0/ 100 =  0%  lag-39.ear2.Seattle1.Level3.net [4.68.37.129]

Thanks to whomever