Finding the Third Proportional to 348.56 and 757.31

Step by Step Solution

1. Step 1: Write the proportion equation
   348.56 : 757.31 = 757.31 : x
2. Step 2: Convert to fraction form
   348.56/757.31 = 757.31/x
3. Step 3: Cross multiply
   348.56x = 757.31 × 757.31
4. Step 4: Simplify right side
   348.56x = 573,522.22
5. Step 5: Solve for x
   x = 573,522.22/348.56
6. Step 6: Final answer
   x = 1,645.39