Finding the Third Proportional to 39,674 and 61,401

Step by Step Solution

1. Step 1: Write the proportion equation
   39,674 : 61,401 = 61,401 : x
2. Step 2: Convert to fraction form
   39,674/61,401 = 61,401/x
3. Step 3: Cross multiply
   39,674x = 61,401 × 61,401
4. Step 4: Simplify right side
   39,674x = 3,770,082,801
5. Step 5: Solve for x
   x = 3,770,082,801/39,674
6. Step 6: Final answer
   x = 95,026.54