Finding the Third Proportional to 17,786 and 41,171

Step by Step Solution

1. Step 1: Write the proportion equation
   17,786 : 41,171 = 41,171 : x
2. Step 2: Convert to fraction form
   17,786/41,171 = 41,171/x
3. Step 3: Cross multiply
   17,786x = 41,171 × 41,171
4. Step 4: Simplify right side
   17,786x = 1,695,051,241
5. Step 5: Solve for x
   x = 1,695,051,241/17,786
6. Step 6: Final answer
   x = 95,302.55