Finding the Third Proportional to 33,172 and 72,644

Step by Step Solution

1. Step 1: Write the proportion equation
   33,172 : 72,644 = 72,644 : x
2. Step 2: Convert to fraction form
   33,172/72,644 = 72,644/x
3. Step 3: Cross multiply
   33,172x = 72,644 × 72,644
4. Step 4: Simplify right side
   33,172x = 5,277,150,736
5. Step 5: Solve for x
   x = 5,277,150,736/33,172
6. Step 6: Final answer
   x = 159,084.49