Finding the Third Proportional to 8,223 and 12,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,223 : 12,736.50 = 12,736.50 : x
2. Step 2: Convert to fraction form
   8,223/12,736.50 = 12,736.50/x
3. Step 3: Cross multiply
   8,223x = 12,736.50 × 12,736.50
4. Step 4: Simplify right side
   8,223x = 162,218,432.25
5. Step 5: Solve for x
   x = 162,218,432.25/8,223
6. Step 6: Final answer
   x = 19,727.40