Finding the Third Proportional to 41,930 and 65,451

Step by Step Solution

1. Step 1: Write the proportion equation
   41,930 : 65,451 = 65,451 : x
2. Step 2: Convert to fraction form
   41,930/65,451 = 65,451/x
3. Step 3: Cross multiply
   41,930x = 65,451 × 65,451
4. Step 4: Simplify right side
   41,930x = 4,283,833,401
5. Step 5: Solve for x
   x = 4,283,833,401/41,930
6. Step 6: Final answer
   x = 102,166.31