Finding the Third Proportional to 33,536 and 73,303

Step by Step Solution

1. Step 1: Write the proportion equation
   33,536 : 73,303 = 73,303 : x
2. Step 2: Convert to fraction form
   33,536/73,303 = 73,303/x
3. Step 3: Cross multiply
   33,536x = 73,303 × 73,303
4. Step 4: Simplify right side
   33,536x = 5,373,329,809
5. Step 5: Solve for x
   x = 5,373,329,809/33,536
6. Step 6: Final answer
   x = 160,225.72