Finding the Third Proportional to 33,489 and 72,804

Step by Step Solution

1. Step 1: Write the proportion equation
   33,489 : 72,804 = 72,804 : x
2. Step 2: Convert to fraction form
   33,489/72,804 = 72,804/x
3. Step 3: Cross multiply
   33,489x = 72,804 × 72,804
4. Step 4: Simplify right side
   33,489x = 5,300,422,416
5. Step 5: Solve for x
   x = 5,300,422,416/33,489
6. Step 6: Final answer
   x = 158,273.54