Finding the Third Proportional to 41,413.50 and 64,580.63

Step by Step Solution

1. Step 1: Write the proportion equation
   41,413.50 : 64,580.63 = 64,580.63 : x
2. Step 2: Convert to fraction form
   41,413.50/64,580.63 = 64,580.63/x
3. Step 3: Cross multiply
   41,413.50x = 64,580.63 × 64,580.63
4. Step 4: Simplify right side
   41,413.50x = 4,170,657,125.39
5. Step 5: Solve for x
   x = 4,170,657,125.39/41,413.50
6. Step 6: Final answer
   x = 100,707.67