Finding the Third Proportional to 40,796 and 62,401

Step by Step Solution

1. Step 1: Write the proportion equation
   40,796 : 62,401 = 62,401 : x
2. Step 2: Convert to fraction form
   40,796/62,401 = 62,401/x
3. Step 3: Cross multiply
   40,796x = 62,401 × 62,401
4. Step 4: Simplify right side
   40,796x = 3,893,884,801
5. Step 5: Solve for x
   x = 3,893,884,801/40,796
6. Step 6: Final answer
   x = 95,447.71