Finding the Third Proportional to 33,280 and 73,256

Step by Step Solution

1. Step 1: Write the proportion equation
   33,280 : 73,256 = 73,256 : x
2. Step 2: Convert to fraction form
   33,280/73,256 = 73,256/x
3. Step 3: Cross multiply
   33,280x = 73,256 × 73,256
4. Step 4: Simplify right side
   33,280x = 5,366,441,536
5. Step 5: Solve for x
   x = 5,366,441,536/33,280
6. Step 6: Final answer
   x = 161,251.25