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In this paper an exponential chain ratio cum dual to ratio estimator has been considered for estimating population mean of the study variate using two auxiliary variables under double sampling procedure, when the information on another additional auxiliary variate is available along with the main auxiliary variate. The asymptotically optimum estimators (AOE) are identified in two different cases with their biases and variances. The optimum values of the first and second phase sample sizes have been obtained for the fixed cost of survey. Theoretical and empirical studies have also been done to demonstrate the efficiency of the proposed estimator with respect to strategies which utilized the information on two auxiliary variables..

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