Finding the Third Proportional to 7,413.75 and 16,195.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,413.75 : 16,195.50 = 16,195.50 : x
2. Step 2: Convert to fraction form
   7,413.75/16,195.50 = 16,195.50/x
3. Step 3: Cross multiply
   7,413.75x = 16,195.50 × 16,195.50
4. Step 4: Simplify right side
   7,413.75x = 262,294,220.25
5. Step 5: Solve for x
   x = 262,294,220.25/7,413.75
6. Step 6: Final answer
   x = 35,379.43