Finding the Third Proportional to 19,727.75 and 27,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,727.75 : 27,748.50 = 27,748.50 : x
2. Step 2: Convert to fraction form
   19,727.75/27,748.50 = 27,748.50/x
3. Step 3: Cross multiply
   19,727.75x = 27,748.50 × 27,748.50
4. Step 4: Simplify right side
   19,727.75x = 769,979,252.25
5. Step 5: Solve for x
   x = 769,979,252.25/19,727.75
6. Step 6: Final answer
   x = 39,030.26