Finding the Third Proportional to 33,618 and 72,422.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,618 : 72,422.63 = 72,422.63 : x
2. Step 2: Convert to fraction form
   33,618/72,422.63 = 72,422.63/x
3. Step 3: Cross multiply
   33,618x = 72,422.63 × 72,422.63
4. Step 4: Simplify right side
   33,618x = 5,245,036,611.89
5. Step 5: Solve for x
   x = 5,245,036,611.89/33,618
6. Step 6: Final answer
   x = 156,018.70