Finding the Third Proportional to 4,848.50 and 7,413.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,848.50 : 7,413.63 = 7,413.63 : x
2. Step 2: Convert to fraction form
   4,848.50/7,413.63 = 7,413.63/x
3. Step 3: Cross multiply
   4,848.50x = 7,413.63 × 7,413.63
4. Step 4: Simplify right side
   4,848.50x = 54,961,835.64
5. Step 5: Solve for x
   x = 54,961,835.64/4,848.50
6. Step 6: Final answer
   x = 11,335.84