Finding the Third Proportional to 3,834 and 5,426

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834 : 5,426 = 5,426 : x
2. Step 2: Convert to fraction form
   3,834/5,426 = 5,426/x
3. Step 3: Cross multiply
   3,834x = 5,426 × 5,426
4. Step 4: Simplify right side
   3,834x = 29,441,476
5. Step 5: Solve for x
   x = 29,441,476/3,834
6. Step 6: Final answer
   x = 7,679.05