Finding the Third Proportional to 33,581 and 73,156

Step by Step Solution

1. Step 1: Write the proportion equation
   33,581 : 73,156 = 73,156 : x
2. Step 2: Convert to fraction form
   33,581/73,156 = 73,156/x
3. Step 3: Cross multiply
   33,581x = 73,156 × 73,156
4. Step 4: Simplify right side
   33,581x = 5,351,800,336
5. Step 5: Solve for x
   x = 5,351,800,336/33,581
6. Step 6: Final answer
   x = 159,369.89