Finding the Third Proportional to 19,839 and 27,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,839 : 27,016.50 = 27,016.50 : x
2. Step 2: Convert to fraction form
   19,839/27,016.50 = 27,016.50/x
3. Step 3: Cross multiply
   19,839x = 27,016.50 × 27,016.50
4. Step 4: Simplify right side
   19,839x = 729,891,272.25
5. Step 5: Solve for x
   x = 729,891,272.25/19,839
6. Step 6: Final answer
   x = 36,790.73