Finding the Third Proportional to 8,286 and 17,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,286 : 17,596.50 = 17,596.50 : x
2. Step 2: Convert to fraction form
   8,286/17,596.50 = 17,596.50/x
3. Step 3: Cross multiply
   8,286x = 17,596.50 × 17,596.50
4. Step 4: Simplify right side
   8,286x = 309,636,812.25
5. Step 5: Solve for x
   x = 309,636,812.25/8,286
6. Step 6: Final answer
   x = 37,368.67