We attempt to quantify end-to-end throughput in multihop wireless networks using a metric that measures the maximum density of source-destination pairs that can successfully communicate over a specified distance at certain data rate. We term this metric the random access transport capacity, since it is similar to transport capacity but the interference model presumes uncoordinated transmissions. A simple upper bound on this quantity is derived in closed-form in terms of key network parameters when the number of retransmissions is not restricted and the hops are assumed to be equally spaced on a line between the source and destination. We also derive the optimum number of hops which is small and finite and optimal per hop success probability for integer path loss exponents. We show that our result follows the well-known square root scaling law while providing exact expressions for the preconstants as well.