Finding the Third Proportional to 738.56 and 1,357.31

Step by Step Solution

1. Step 1: Write the proportion equation
   738.56 : 1,357.31 = 1,357.31 : x
2. Step 2: Convert to fraction form
   738.56/1,357.31 = 1,357.31/x
3. Step 3: Cross multiply
   738.56x = 1,357.31 × 1,357.31
4. Step 4: Simplify right side
   738.56x = 1,842,297.22
5. Step 5: Solve for x
   x = 1,842,297.22/738.56
6. Step 6: Final answer
   x = 2,494.44