Finding the Third Proportional to 8,366.63 and 12,853.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,366.63 : 12,853.69 = 12,853.69 : x
2. Step 2: Convert to fraction form
   8,366.63/12,853.69 = 12,853.69/x
3. Step 3: Cross multiply
   8,366.63x = 12,853.69 × 12,853.69
4. Step 4: Simplify right side
   8,366.63x = 165,217,282.35
5. Step 5: Solve for x
   x = 165,217,282.35/8,366.63
6. Step 6: Final answer
   x = 19,747.18