Finding the Third Proportional to 1,014.56 and 1,356.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.56 : 1,356.56 = 1,356.56 : x
2. Step 2: Convert to fraction form
   1,014.56/1,356.56 = 1,356.56/x
3. Step 3: Cross multiply
   1,014.56x = 1,356.56 × 1,356.56
4. Step 4: Simplify right side
   1,014.56x = 1,840,261.82
5. Step 5: Solve for x
   x = 1,840,261.82/1,014.56
6. Step 6: Final answer
   x = 1,813.85