Finding the Third Proportional to 16,866 and 41,191

Step by Step Solution

1. Step 1: Write the proportion equation
   16,866 : 41,191 = 41,191 : x
2. Step 2: Convert to fraction form
   16,866/41,191 = 41,191/x
3. Step 3: Cross multiply
   16,866x = 41,191 × 41,191
4. Step 4: Simplify right side
   16,866x = 1,696,698,481
5. Step 5: Solve for x
   x = 1,696,698,481/16,866
6. Step 6: Final answer
   x = 100,598.75