Finding the Third Proportional to 23,225 and 35,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,225 : 35,413.50 = 35,413.50 : x
2. Step 2: Convert to fraction form
   23,225/35,413.50 = 35,413.50/x
3. Step 3: Cross multiply
   23,225x = 35,413.50 × 35,413.50
4. Step 4: Simplify right side
   23,225x = 1,254,115,982.25
5. Step 5: Solve for x
   x = 1,254,115,982.25/23,225
6. Step 6: Final answer
   x = 53,998.54