Finding the Third Proportional to 35,872 and 70,824

Step by Step Solution

1. Step 1: Write the proportion equation
   35,872 : 70,824 = 70,824 : x
2. Step 2: Convert to fraction form
   35,872/70,824 = 70,824/x
3. Step 3: Cross multiply
   35,872x = 70,824 × 70,824
4. Step 4: Simplify right side
   35,872x = 5,016,038,976
5. Step 5: Solve for x
   x = 5,016,038,976/35,872
6. Step 6: Final answer
   x = 139,831.60