Finding the Third Proportional to 33,828 and 72,345

Step by Step Solution

1. Step 1: Write the proportion equation
   33,828 : 72,345 = 72,345 : x
2. Step 2: Convert to fraction form
   33,828/72,345 = 72,345/x
3. Step 3: Cross multiply
   33,828x = 72,345 × 72,345
4. Step 4: Simplify right side
   33,828x = 5,233,799,025
5. Step 5: Solve for x
   x = 5,233,799,025/33,828
6. Step 6: Final answer
   x = 154,717.96