Finding the Third Proportional to 19,728.75 and 27,749.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,728.75 : 27,749.25 = 27,749.25 : x
2. Step 2: Convert to fraction form
   19,728.75/27,749.25 = 27,749.25/x
3. Step 3: Cross multiply
   19,728.75x = 27,749.25 × 27,749.25
4. Step 4: Simplify right side
   19,728.75x = 770,020,875.56
5. Step 5: Solve for x
   x = 770,020,875.56/19,728.75
6. Step 6: Final answer
   x = 39,030.39