Finding the Third Proportional to 35,874 and 70,828

Step by Step Solution

1. Step 1: Write the proportion equation
   35,874 : 70,828 = 70,828 : x
2. Step 2: Convert to fraction form
   35,874/70,828 = 70,828/x
3. Step 3: Cross multiply
   35,874x = 70,828 × 70,828
4. Step 4: Simplify right side
   35,874x = 5,016,605,584
5. Step 5: Solve for x
   x = 5,016,605,584/35,874
6. Step 6: Final answer
   x = 139,839.59