Finding the Third Proportional to 8,228 and 12,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,228 : 12,346.50 = 12,346.50 : x
2. Step 2: Convert to fraction form
   8,228/12,346.50 = 12,346.50/x
3. Step 3: Cross multiply
   8,228x = 12,346.50 × 12,346.50
4. Step 4: Simplify right side
   8,228x = 152,436,062.25
5. Step 5: Solve for x
   x = 152,436,062.25/8,228
6. Step 6: Final answer
   x = 18,526.50