Finding the Third Proportional to 8,200.50 and 17,697.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200.50 : 17,697.25 = 17,697.25 : x
2. Step 2: Convert to fraction form
   8,200.50/17,697.25 = 17,697.25/x
3. Step 3: Cross multiply
   8,200.50x = 17,697.25 × 17,697.25
4. Step 4: Simplify right side
   8,200.50x = 313,192,657.56
5. Step 5: Solve for x
   x = 313,192,657.56/8,200.50
6. Step 6: Final answer
   x = 38,191.90