Finding the Third Proportional to 757.69 and 826.13

Step by Step Solution

1. Step 1: Write the proportion equation
   757.69 : 826.13 = 826.13 : x
2. Step 2: Convert to fraction form
   757.69/826.13 = 826.13/x
3. Step 3: Cross multiply
   757.69x = 826.13 × 826.13
4. Step 4: Simplify right side
   757.69x = 682,482.52
5. Step 5: Solve for x
   x = 682,482.52/757.69
6. Step 6: Final answer
   x = 900.74