Finding the Third Proportional to 30,618 and 64,002

Step by Step Solution

1. Step 1: Write the proportion equation
   30,618 : 64,002 = 64,002 : x
2. Step 2: Convert to fraction form
   30,618/64,002 = 64,002/x
3. Step 3: Cross multiply
   30,618x = 64,002 × 64,002
4. Step 4: Simplify right side
   30,618x = 4,096,256,004
5. Step 5: Solve for x
   x = 4,096,256,004/30,618
6. Step 6: Final answer
   x = 133,785.88