Finding the Third Proportional to 42,458 and 65,469

Step by Step Solution

1. Step 1: Write the proportion equation
   42,458 : 65,469 = 65,469 : x
2. Step 2: Convert to fraction form
   42,458/65,469 = 65,469/x
3. Step 3: Cross multiply
   42,458x = 65,469 × 65,469
4. Step 4: Simplify right side
   42,458x = 4,286,189,961
5. Step 5: Solve for x
   x = 4,286,189,961/42,458
6. Step 6: Final answer
   x = 100,951.29