Finding the Third Proportional to 33,438 and 72,636

Step by Step Solution

1. Step 1: Write the proportion equation
   33,438 : 72,636 = 72,636 : x
2. Step 2: Convert to fraction form
   33,438/72,636 = 72,636/x
3. Step 3: Cross multiply
   33,438x = 72,636 × 72,636
4. Step 4: Simplify right side
   33,438x = 5,275,988,496
5. Step 5: Solve for x
   x = 5,275,988,496/33,438
6. Step 6: Final answer
   x = 157,784.21