Finding the Third Proportional to 3,834 and 5,936.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834 : 5,936.75 = 5,936.75 : x
2. Step 2: Convert to fraction form
   3,834/5,936.75 = 5,936.75/x
3. Step 3: Cross multiply
   3,834x = 5,936.75 × 5,936.75
4. Step 4: Simplify right side
   3,834x = 35,245,000.56
5. Step 5: Solve for x
   x = 35,245,000.56/3,834
6. Step 6: Final answer
   x = 9,192.75