Finding the Third Proportional to 32,816 and 71,968

Step by Step Solution

1. Step 1: Write the proportion equation
   32,816 : 71,968 = 71,968 : x
2. Step 2: Convert to fraction form
   32,816/71,968 = 71,968/x
3. Step 3: Cross multiply
   32,816x = 71,968 × 71,968
4. Step 4: Simplify right side
   32,816x = 5,179,393,024
5. Step 5: Solve for x
   x = 5,179,393,024/32,816
6. Step 6: Final answer
   x = 157,831.33