Finding the Third Proportional to 21,834 and 34,451

Step by Step Solution

1. Step 1: Write the proportion equation
   21,834 : 34,451 = 34,451 : x
2. Step 2: Convert to fraction form
   21,834/34,451 = 34,451/x
3. Step 3: Cross multiply
   21,834x = 34,451 × 34,451
4. Step 4: Simplify right side
   21,834x = 1,186,871,401
5. Step 5: Solve for x
   x = 1,186,871,401/21,834
6. Step 6: Final answer
   x = 54,358.86