Finding the Third Proportional to 5,872.50 and 12,853.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,872.50 : 12,853.69 = 12,853.69 : x
2. Step 2: Convert to fraction form
   5,872.50/12,853.69 = 12,853.69/x
3. Step 3: Cross multiply
   5,872.50x = 12,853.69 × 12,853.69
4. Step 4: Simplify right side
   5,872.50x = 165,217,282.35
5. Step 5: Solve for x
   x = 165,217,282.35/5,872.50
6. Step 6: Final answer
   x = 28,134.06