Finding the Third Proportional to 32,968 and 71,216

Step by Step Solution

1. Step 1: Write the proportion equation
   32,968 : 71,216 = 71,216 : x
2. Step 2: Convert to fraction form
   32,968/71,216 = 71,216/x
3. Step 3: Cross multiply
   32,968x = 71,216 × 71,216
4. Step 4: Simplify right side
   32,968x = 5,071,718,656
5. Step 5: Solve for x
   x = 5,071,718,656/32,968
6. Step 6: Final answer
   x = 153,837.62