Finding the Third Proportional to 19,724.25 and 27,743.63

Step by Step Solution

1. Step 1: Write the proportion equation
   19,724.25 : 27,743.63 = 27,743.63 : x
2. Step 2: Convert to fraction form
   19,724.25/27,743.63 = 27,743.63/x
3. Step 3: Cross multiply
   19,724.25x = 27,743.63 × 27,743.63
4. Step 4: Simplify right side
   19,724.25x = 769,708,728.14
5. Step 5: Solve for x
   x = 769,708,728.14/19,724.25
6. Step 6: Final answer
   x = 39,023.47