Finding the Third Proportional to 1,305.56 and 1,413.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,305.56 : 1,413.56 = 1,413.56 : x
2. Step 2: Convert to fraction form
   1,305.56/1,413.56 = 1,413.56/x
3. Step 3: Cross multiply
   1,305.56x = 1,413.56 × 1,413.56
4. Step 4: Simplify right side
   1,305.56x = 1,998,158.94
5. Step 5: Solve for x
   x = 1,998,158.94/1,305.56
6. Step 6: Final answer
   x = 1,530.50