Finding the Third Proportional to 8,823 and 12,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,823 : 12,366.50 = 12,366.50 : x
2. Step 2: Convert to fraction form
   8,823/12,366.50 = 12,366.50/x
3. Step 3: Cross multiply
   8,823x = 12,366.50 × 12,366.50
4. Step 4: Simplify right side
   8,823x = 152,930,322.25
5. Step 5: Solve for x
   x = 152,930,322.25/8,823
6. Step 6: Final answer
   x = 17,333.14