Finding the Third Proportional to 39,618 and 82,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,618 : 82,498.50 = 82,498.50 : x
2. Step 2: Convert to fraction form
   39,618/82,498.50 = 82,498.50/x
3. Step 3: Cross multiply
   39,618x = 82,498.50 × 82,498.50
4. Step 4: Simplify right side
   39,618x = 6,806,002,502.25
5. Step 5: Solve for x
   x = 6,806,002,502.25/39,618
6. Step 6: Final answer
   x = 171,790.66