Finding the Third Proportional to 17,786 and 41,225

Step by Step Solution

1. Step 1: Write the proportion equation
   17,786 : 41,225 = 41,225 : x
2. Step 2: Convert to fraction form
   17,786/41,225 = 41,225/x
3. Step 3: Cross multiply
   17,786x = 41,225 × 41,225
4. Step 4: Simplify right side
   17,786x = 1,699,500,625
5. Step 5: Solve for x
   x = 1,699,500,625/17,786
6. Step 6: Final answer
   x = 95,552.72