Finding the Third Proportional to 33,624 and 73,164

Step by Step Solution

1. Step 1: Write the proportion equation
   33,624 : 73,164 = 73,164 : x
2. Step 2: Convert to fraction form
   33,624/73,164 = 73,164/x
3. Step 3: Cross multiply
   33,624x = 73,164 × 73,164
4. Step 4: Simplify right side
   33,624x = 5,352,970,896
5. Step 5: Solve for x
   x = 5,352,970,896/33,624
6. Step 6: Final answer
   x = 159,200.90