Finding the Third Proportional to 42,942 and 65,694

Step by Step Solution

1. Step 1: Write the proportion equation
   42,942 : 65,694 = 65,694 : x
2. Step 2: Convert to fraction form
   42,942/65,694 = 65,694/x
3. Step 3: Cross multiply
   42,942x = 65,694 × 65,694
4. Step 4: Simplify right side
   42,942x = 4,315,701,636
5. Step 5: Solve for x
   x = 4,315,701,636/42,942
6. Step 6: Final answer
   x = 100,500.71