Finding the Third Proportional to 8,206 and 17,580

Step by Step Solution

1. Step 1: Write the proportion equation
   8,206 : 17,580 = 17,580 : x
2. Step 2: Convert to fraction form
   8,206/17,580 = 17,580/x
3. Step 3: Cross multiply
   8,206x = 17,580 × 17,580
4. Step 4: Simplify right side
   8,206x = 309,056,400
5. Step 5: Solve for x
   x = 309,056,400/8,206
6. Step 6: Final answer
   x = 37,662.25