Finding the Third Proportional to 33,086 and 72,724

Step by Step Solution

1. Step 1: Write the proportion equation
   33,086 : 72,724 = 72,724 : x
2. Step 2: Convert to fraction form
   33,086/72,724 = 72,724/x
3. Step 3: Cross multiply
   33,086x = 72,724 × 72,724
4. Step 4: Simplify right side
   33,086x = 5,288,780,176
5. Step 5: Solve for x
   x = 5,288,780,176/33,086
6. Step 6: Final answer
   x = 159,849.49