Finding the Third Proportional to 8,177 and 17,650

Step by Step Solution

1. Step 1: Write the proportion equation
   8,177 : 17,650 = 17,650 : x
2. Step 2: Convert to fraction form
   8,177/17,650 = 17,650/x
3. Step 3: Cross multiply
   8,177x = 17,650 × 17,650
4. Step 4: Simplify right side
   8,177x = 311,522,500
5. Step 5: Solve for x
   x = 311,522,500/8,177
6. Step 6: Final answer
   x = 38,097.41