Finding the Third Proportional to 1,413.56 and 1,539.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.56 : 1,539.56 = 1,539.56 : x
2. Step 2: Convert to fraction form
   1,413.56/1,539.56 = 1,539.56/x
3. Step 3: Cross multiply
   1,413.56x = 1,539.56 × 1,539.56
4. Step 4: Simplify right side
   1,413.56x = 2,370,252.69
5. Step 5: Solve for x
   x = 2,370,252.69/1,413.56
6. Step 6: Final answer
   x = 1,676.79