B727 FLC READ BACK INCORRECT HOLD SHORT POINT AT LAX AND LAX LCL CTLR CATCHES THE ERROR WHEN THE ACFT IS MID RWY.

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I WAS HOLDING SHORT OF TXWY F ON TXWY A AFTER COMING OUT OF CARGO COMPLEX; AS ADVISED BY LAX GND CTL. HE TOLD US TO MONITOR TWR FREQ. WE WAITED FOR A FEW MINS MONITORING; AND THEN TOLD TWR THAT WE WERE READY FOR DEP. TWR GAVE US A CLRNC TO TURN L ON TXWY F AND HOLD SHORT RWY 25R. WE IMMEDIATELY REALIZED THAT HE HAD MADE A MISTAKE AND BEFORE WE COULD ASK HIM ANY FURTHER; HE GAVE US ANOTHER CLRNC TO TURN R ON TXWY F AND HOLD SHORT RWY 25R. MY FO ACKNOWLEDGED; BUT MISTAKENLY SAID HOLD SHORT RWY 25L. TXWY F IS A SHORT TXWY AND BY THE TIME WE WERE MOVING TO CROSS RWY 25L; I WAS SUPPORTED BY MY FE AS WELL THAT HE HEARD THE CLRNC TO HOLD SHORT RWY 25R AND NOT RWY 25L. I TOLD MY FO TO CONFIRM THE CLRNC AS WE WERE XING RWY 25L. TWR WAS BUSY TALKING TO ANOTHER ACFT WHICH WAS ON FINAL OF RWY 25L AND HE CLRED HIM TO LAND. AT ABOUT THE MIDDLE OF RWY 25L; TWR SAID 'ACFT X; STOP;' AND BY THAT TIME I OPENED PWR TO CROSS RWY 25L FASTER. BEING IN THE MIDDLE OF THE RWY; I CROSSED AND HELD SHORT OF RWY 25R. SHORTLY THEREAFTER; TWR GAVE US A CLRNC TO CROSS RWY 25R AND TURN R ON TXWY B; TO USE FULL LENGTH OF RWY 25R FOR TKOF. ACFT Y FLT WAS TOLD TO GO AROUND BY THE TWR. BEFORE GIVING US THE TKOF CLRNC; TWR GAVE US A TELEPHONE NUMBER TO CALL; WHICH I DID AND WAS TOLD THAT THEY WILL BE INVESTIGATING THIS MATTER.