Finding the Third Proportional to 33,283 and 72,398

Step by Step Solution

1. Step 1: Write the proportion equation
   33,283 : 72,398 = 72,398 : x
2. Step 2: Convert to fraction form
   33,283/72,398 = 72,398/x
3. Step 3: Cross multiply
   33,283x = 72,398 × 72,398
4. Step 4: Simplify right side
   33,283x = 5,241,470,404
5. Step 5: Solve for x
   x = 5,241,470,404/33,283
6. Step 6: Final answer
   x = 157,481.91