Finding the Third Proportional to 756.38 and 1,008.56

Step by Step Solution

1. Step 1: Write the proportion equation
   756.38 : 1,008.56 = 1,008.56 : x
2. Step 2: Convert to fraction form
   756.38/1,008.56 = 1,008.56/x
3. Step 3: Cross multiply
   756.38x = 1,008.56 × 1,008.56
4. Step 4: Simplify right side
   756.38x = 1,017,198.32
5. Step 5: Solve for x
   x = 1,017,198.32/756.38
6. Step 6: Final answer
   x = 1,344.83