Finding the Third Proportional to 9,828 and 21,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828 : 21,586.50 = 21,586.50 : x
2. Step 2: Convert to fraction form
   9,828/21,586.50 = 21,586.50/x
3. Step 3: Cross multiply
   9,828x = 21,586.50 × 21,586.50
4. Step 4: Simplify right side
   9,828x = 465,976,982.25
5. Step 5: Solve for x
   x = 465,976,982.25/9,828
6. Step 6: Final answer
   x = 47,413.21