Finding the Third Proportional to 42,885 and 65,970

Step by Step Solution

1. Step 1: Write the proportion equation
   42,885 : 65,970 = 65,970 : x
2. Step 2: Convert to fraction form
   42,885/65,970 = 65,970/x
3. Step 3: Cross multiply
   42,885x = 65,970 × 65,970
4. Step 4: Simplify right side
   42,885x = 4,352,040,900
5. Step 5: Solve for x
   x = 4,352,040,900/42,885
6. Step 6: Final answer
   x = 101,481.66