Finding the Third Proportional to 33,639 and 73,172

Step by Step Solution

1. Step 1: Write the proportion equation
   33,639 : 73,172 = 73,172 : x
2. Step 2: Convert to fraction form
   33,639/73,172 = 73,172/x
3. Step 3: Cross multiply
   33,639x = 73,172 × 73,172
4. Step 4: Simplify right side
   33,639x = 5,354,141,584
5. Step 5: Solve for x
   x = 5,354,141,584/33,639
6. Step 6: Final answer
   x = 159,164.71