Finding the Third Proportional to 29,589 and 64,401

Step by Step Solution

1. Step 1: Write the proportion equation
   29,589 : 64,401 = 64,401 : x
2. Step 2: Convert to fraction form
   29,589/64,401 = 64,401/x
3. Step 3: Cross multiply
   29,589x = 64,401 × 64,401
4. Step 4: Simplify right side
   29,589x = 4,147,488,801
5. Step 5: Solve for x
   x = 4,147,488,801/29,589
6. Step 6: Final answer
   x = 140,169.96