Finding the Third Proportional to 33,646 and 73,116

Step by Step Solution

1. Step 1: Write the proportion equation
   33,646 : 73,116 = 73,116 : x
2. Step 2: Convert to fraction form
   33,646/73,116 = 73,116/x
3. Step 3: Cross multiply
   33,646x = 73,116 × 73,116
4. Step 4: Simplify right side
   33,646x = 5,345,949,456
5. Step 5: Solve for x
   x = 5,345,949,456/33,646
6. Step 6: Final answer
   x = 158,888.11