Finding the Third Proportional to 2,000 and 3,936

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000 : 3,936 = 3,936 : x
2. Step 2: Convert to fraction form
   2,000/3,936 = 3,936/x
3. Step 3: Cross multiply
   2,000x = 3,936 × 3,936
4. Step 4: Simplify right side
   2,000x = 15,492,096
5. Step 5: Solve for x
   x = 15,492,096/2,000
6. Step 6: Final answer
   x = 7,746.05