Finding the Third Proportional to 33,006 and 72,546

Step by Step Solution

1. Step 1: Write the proportion equation
   33,006 : 72,546 = 72,546 : x
2. Step 2: Convert to fraction form
   33,006/72,546 = 72,546/x
3. Step 3: Cross multiply
   33,006x = 72,546 × 72,546
4. Step 4: Simplify right side
   33,006x = 5,262,922,116
5. Step 5: Solve for x
   x = 5,262,922,116/33,006
6. Step 6: Final answer
   x = 159,453.50