Finding the Third Proportional to 12,083.75 and 17,661.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,083.75 : 17,661.75 = 17,661.75 : x
2. Step 2: Convert to fraction form
   12,083.75/17,661.75 = 17,661.75/x
3. Step 3: Cross multiply
   12,083.75x = 17,661.75 × 17,661.75
4. Step 4: Simplify right side
   12,083.75x = 311,937,413.06
5. Step 5: Solve for x
   x = 311,937,413.06/12,083.75
6. Step 6: Final answer
   x = 25,814.62