Finding the Third Proportional to 33,632 and 73,096

Step by Step Solution

1. Step 1: Write the proportion equation
   33,632 : 73,096 = 73,096 : x
2. Step 2: Convert to fraction form
   33,632/73,096 = 73,096/x
3. Step 3: Cross multiply
   33,632x = 73,096 × 73,096
4. Step 4: Simplify right side
   33,632x = 5,343,025,216
5. Step 5: Solve for x
   x = 5,343,025,216/33,632
6. Step 6: Final answer
   x = 158,867.31