Finding the Third Proportional to 10,185.75 and 12,853.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 12,853.69 = 12,853.69 : x
2. Step 2: Convert to fraction form
   10,185.75/12,853.69 = 12,853.69/x
3. Step 3: Cross multiply
   10,185.75x = 12,853.69 × 12,853.69
4. Step 4: Simplify right side
   10,185.75x = 165,217,282.35
5. Step 5: Solve for x
   x = 165,217,282.35/10,185.75
6. Step 6: Final answer
   x = 16,220.43