Finding the Third Proportional to 33,936 and 73,536

Step by Step Solution

1. Step 1: Write the proportion equation
   33,936 : 73,536 = 73,536 : x
2. Step 2: Convert to fraction form
   33,936/73,536 = 73,536/x
3. Step 3: Cross multiply
   33,936x = 73,536 × 73,536
4. Step 4: Simplify right side
   33,936x = 5,407,543,296
5. Step 5: Solve for x
   x = 5,407,543,296/33,936
6. Step 6: Final answer
   x = 159,345.34