Finding the Third Proportional to 5,937.75 and 12,864.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,937.75 : 12,864.38 = 12,864.38 : x
2. Step 2: Convert to fraction form
   5,937.75/12,864.38 = 12,864.38/x
3. Step 3: Cross multiply
   5,937.75x = 12,864.38 × 12,864.38
4. Step 4: Simplify right side
   5,937.75x = 165,492,144.14
5. Step 5: Solve for x
   x = 165,492,144.14/5,937.75
6. Step 6: Final answer
   x = 27,871.19