Finding the Third Proportional to 33,996 and 72,366

Step by Step Solution

1. Step 1: Write the proportion equation
   33,996 : 72,366 = 72,366 : x
2. Step 2: Convert to fraction form
   33,996/72,366 = 72,366/x
3. Step 3: Cross multiply
   33,996x = 72,366 × 72,366
4. Step 4: Simplify right side
   33,996x = 5,236,837,956
5. Step 5: Solve for x
   x = 5,236,837,956/33,996
6. Step 6: Final answer
   x = 154,042.77