Finding the Third Proportional to 10,759.50 and 22,823.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,759.50 : 22,823.25 = 22,823.25 : x
2. Step 2: Convert to fraction form
   10,759.50/22,823.25 = 22,823.25/x
3. Step 3: Cross multiply
   10,759.50x = 22,823.25 × 22,823.25
4. Step 4: Simplify right side
   10,759.50x = 520,900,740.56
5. Step 5: Solve for x
   x = 520,900,740.56/10,759.50
6. Step 6: Final answer
   x = 48,413.10