Finding the Third Proportional to 10,823 and 16,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823 : 16,233.50 = 16,233.50 : x
2. Step 2: Convert to fraction form
   10,823/16,233.50 = 16,233.50/x
3. Step 3: Cross multiply
   10,823x = 16,233.50 × 16,233.50
4. Step 4: Simplify right side
   10,823x = 263,526,522.25
5. Step 5: Solve for x
   x = 263,526,522.25/10,823
6. Step 6: Final answer
   x = 24,348.75