Finding the Third Proportional to 42,396 and 65,874

Step by Step Solution

1. Step 1: Write the proportion equation
   42,396 : 65,874 = 65,874 : x
2. Step 2: Convert to fraction form
   42,396/65,874 = 65,874/x
3. Step 3: Cross multiply
   42,396x = 65,874 × 65,874
4. Step 4: Simplify right side
   42,396x = 4,339,383,876
5. Step 5: Solve for x
   x = 4,339,383,876/42,396
6. Step 6: Final answer
   x = 102,353.62