Finding the Third Proportional to 33,968 and 72,256

Step by Step Solution

1. Step 1: Write the proportion equation
   33,968 : 72,256 = 72,256 : x
2. Step 2: Convert to fraction form
   33,968/72,256 = 72,256/x
3. Step 3: Cross multiply
   33,968x = 72,256 × 72,256
4. Step 4: Simplify right side
   33,968x = 5,220,929,536
5. Step 5: Solve for x
   x = 5,220,929,536/33,968
6. Step 6: Final answer
   x = 153,701.41