Finding the Third Proportional to 39,618 and 85,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,618 : 85,837.50 = 85,837.50 : x
2. Step 2: Convert to fraction form
   39,618/85,837.50 = 85,837.50/x
3. Step 3: Cross multiply
   39,618x = 85,837.50 × 85,837.50
4. Step 4: Simplify right side
   39,618x = 7,368,076,406.25
5. Step 5: Solve for x
   x = 7,368,076,406.25/39,618
6. Step 6: Final answer
   x = 185,978.00