Finding the Third Proportional to 8,120.25 and 17,728.88

Step by Step Solution

1. Step 1: Write the proportion equation
   8,120.25 : 17,728.88 = 17,728.88 : x
2. Step 2: Convert to fraction form
   8,120.25/17,728.88 = 17,728.88/x
3. Step 3: Cross multiply
   8,120.25x = 17,728.88 × 17,728.88
4. Step 4: Simplify right side
   8,120.25x = 314,313,008.77
5. Step 5: Solve for x
   x = 314,313,008.77/8,120.25
6. Step 6: Final answer
   x = 38,707.31