Finding the Third Proportional to 353.25 and 756.56

Step by Step Solution

1. Step 1: Write the proportion equation
   353.25 : 756.56 = 756.56 : x
2. Step 2: Convert to fraction form
   353.25/756.56 = 756.56/x
3. Step 3: Cross multiply
   353.25x = 756.56 × 756.56
4. Step 4: Simplify right side
   353.25x = 572,386.82
5. Step 5: Solve for x
   x = 572,386.82/353.25
6. Step 6: Final answer
   x = 1,620.34