Finding the Third Proportional to 33,012 and 72,588

Step by Step Solution

1. Step 1: Write the proportion equation
   33,012 : 72,588 = 72,588 : x
2. Step 2: Convert to fraction form
   33,012/72,588 = 72,588/x
3. Step 3: Cross multiply
   33,012x = 72,588 × 72,588
4. Step 4: Simplify right side
   33,012x = 5,269,017,744
5. Step 5: Solve for x
   x = 5,269,017,744/33,012
6. Step 6: Final answer
   x = 159,609.16