Finding the Third Proportional to 757.31 and 826.69

Step by Step Solution

1. Step 1: Write the proportion equation
   757.31 : 826.69 = 826.69 : x
2. Step 2: Convert to fraction form
   757.31/826.69 = 826.69/x
3. Step 3: Cross multiply
   757.31x = 826.69 × 826.69
4. Step 4: Simplify right side
   757.31x = 683,412.22
5. Step 5: Solve for x
   x = 683,412.22/757.31
6. Step 6: Final answer
   x = 902.42