Finding the Third Proportional to 8,284.50 and 17,597.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,284.50 : 17,597.25 = 17,597.25 : x
2. Step 2: Convert to fraction form
   8,284.50/17,597.25 = 17,597.25/x
3. Step 3: Cross multiply
   8,284.50x = 17,597.25 × 17,597.25
4. Step 4: Simplify right side
   8,284.50x = 309,663,207.56
5. Step 5: Solve for x
   x = 309,663,207.56/8,284.50
6. Step 6: Final answer
   x = 37,378.62