Finding the Third Proportional to 10,413.56 and 13,759.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413.56 : 13,759.88 = 13,759.88 : x
2. Step 2: Convert to fraction form
   10,413.56/13,759.88 = 13,759.88/x
3. Step 3: Cross multiply
   10,413.56x = 13,759.88 × 13,759.88
4. Step 4: Simplify right side
   10,413.56x = 189,334,160.02
5. Step 5: Solve for x
   x = 189,334,160.02/10,413.56
6. Step 6: Final answer
   x = 18,181.50