Finding the Third Proportional to 8,200.31 and 17,976.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200.31 : 17,976.75 = 17,976.75 : x
2. Step 2: Convert to fraction form
   8,200.31/17,976.75 = 17,976.75/x
3. Step 3: Cross multiply
   8,200.31x = 17,976.75 × 17,976.75
4. Step 4: Simplify right side
   8,200.31x = 323,163,540.56
5. Step 5: Solve for x
   x = 323,163,540.56/8,200.31
6. Step 6: Final answer
   x = 39,408.69