Finding the Third Proportional to 33,096 and 73,572

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 73,572 = 73,572 : x
2. Step 2: Convert to fraction form
   33,096/73,572 = 73,572/x
3. Step 3: Cross multiply
   33,096x = 73,572 × 73,572
4. Step 4: Simplify right side
   33,096x = 5,412,839,184
5. Step 5: Solve for x
   x = 5,412,839,184/33,096
6. Step 6: Final answer
   x = 163,549.65