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If BX/XC=AB/AC, then AC/XC must equal
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\[\frac{ BX }{ XC } = \frac{ AB }{ AC }\] cross multiplie and get AC *BX = AB *XC divide both sides by XC and get \[\frac{ AC*BX }{ XC } = \frac{ AB*XC }{ XC }\] \[\frac{ AC*BX }{ XC } = AB\] and now divide both sides by BX and will get in this way \[\frac{ AC }{ XC } = \frac{ AB }{ BX }\] hope helped understandably easy
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