Finding the Third Proportional to 5,853.94 and 9,143.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,853.94 : 9,143.72 = 9,143.72 : x
2. Step 2: Convert to fraction form
   5,853.94/9,143.72 = 9,143.72/x
3. Step 3: Cross multiply
   5,853.94x = 9,143.72 × 9,143.72
4. Step 4: Simplify right side
   5,853.94x = 83,607,592.58
5. Step 5: Solve for x
   x = 83,607,592.58/5,853.94
6. Step 6: Final answer
   x = 14,282.28