Finding the Third Proportional to 8,286 and 17,597

Step by Step Solution

1. Step 1: Write the proportion equation
   8,286 : 17,597 = 17,597 : x
2. Step 2: Convert to fraction form
   8,286/17,597 = 17,597/x
3. Step 3: Cross multiply
   8,286x = 17,597 × 17,597
4. Step 4: Simplify right side
   8,286x = 309,654,409
5. Step 5: Solve for x
   x = 309,654,409/8,286
6. Step 6: Final answer
   x = 37,370.80