Finding the Third Proportional to 33,219 and 71,974

Step by Step Solution

1. Step 1: Write the proportion equation
   33,219 : 71,974 = 71,974 : x
2. Step 2: Convert to fraction form
   33,219/71,974 = 71,974/x
3. Step 3: Cross multiply
   33,219x = 71,974 × 71,974
4. Step 4: Simplify right side
   33,219x = 5,180,256,676
5. Step 5: Solve for x
   x = 5,180,256,676/33,219
6. Step 6: Final answer
   x = 155,942.58