Finding the Third Proportional to 1,008.56 and 1,350.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.56 : 1,350.56 = 1,350.56 : x
2. Step 2: Convert to fraction form
   1,008.56/1,350.56 = 1,350.56/x
3. Step 3: Cross multiply
   1,008.56x = 1,350.56 × 1,350.56
4. Step 4: Simplify right side
   1,008.56x = 1,824,019.07
5. Step 5: Solve for x
   x = 1,824,019.07/1,008.56
6. Step 6: Final answer
   x = 1,808.53