Finding the Third Proportional to 12,589 and 29,401

Step by Step Solution

1. Step 1: Write the proportion equation
   12,589 : 29,401 = 29,401 : x
2. Step 2: Convert to fraction form
   12,589/29,401 = 29,401/x
3. Step 3: Cross multiply
   12,589x = 29,401 × 29,401
4. Step 4: Simplify right side
   12,589x = 864,418,801
5. Step 5: Solve for x
   x = 864,418,801/12,589
6. Step 6: Final answer
   x = 68,664.61