Finding the Third Proportional to 33,216 and 72,960

Step by Step Solution

1. Step 1: Write the proportion equation
   33,216 : 72,960 = 72,960 : x
2. Step 2: Convert to fraction form
   33,216/72,960 = 72,960/x
3. Step 3: Cross multiply
   33,216x = 72,960 × 72,960
4. Step 4: Simplify right side
   33,216x = 5,323,161,600
5. Step 5: Solve for x
   x = 5,323,161,600/33,216
6. Step 6: Final answer
   x = 160,258.96