Finding the Third Proportional to 14,546 and 31,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,546 : 31,413.50 = 31,413.50 : x
2. Step 2: Convert to fraction form
   14,546/31,413.50 = 31,413.50/x
3. Step 3: Cross multiply
   14,546x = 31,413.50 × 31,413.50
4. Step 4: Simplify right side
   14,546x = 986,807,982.25
5. Step 5: Solve for x
   x = 986,807,982.25/14,546
6. Step 6: Final answer
   x = 67,840.50