Finding the Third Proportional to 29,743 and 65,401

Step by Step Solution

1. Step 1: Write the proportion equation
   29,743 : 65,401 = 65,401 : x
2. Step 2: Convert to fraction form
   29,743/65,401 = 65,401/x
3. Step 3: Cross multiply
   29,743x = 65,401 × 65,401
4. Step 4: Simplify right side
   29,743x = 4,277,290,801
5. Step 5: Solve for x
   x = 4,277,290,801/29,743
6. Step 6: Final answer
   x = 143,808.32