Finding the Third Proportional to 32,828 and 72,216

Step by Step Solution

1. Step 1: Write the proportion equation
   32,828 : 72,216 = 72,216 : x
2. Step 2: Convert to fraction form
   32,828/72,216 = 72,216/x
3. Step 3: Cross multiply
   32,828x = 72,216 × 72,216
4. Step 4: Simplify right side
   32,828x = 5,215,150,656
5. Step 5: Solve for x
   x = 5,215,150,656/32,828
6. Step 6: Final answer
   x = 158,862.88