Finding the Third Proportional to 33,984 and 72,618

Step by Step Solution

1. Step 1: Write the proportion equation
   33,984 : 72,618 = 72,618 : x
2. Step 2: Convert to fraction form
   33,984/72,618 = 72,618/x
3. Step 3: Cross multiply
   33,984x = 72,618 × 72,618
4. Step 4: Simplify right side
   33,984x = 5,273,373,924
5. Step 5: Solve for x
   x = 5,273,373,924/33,984
6. Step 6: Final answer
   x = 155,172.26