Finding the Third Proportional to 17,868 and 41,546

Step by Step Solution

1. Step 1: Write the proportion equation
   17,868 : 41,546 = 41,546 : x
2. Step 2: Convert to fraction form
   17,868/41,546 = 41,546/x
3. Step 3: Cross multiply
   17,868x = 41,546 × 41,546
4. Step 4: Simplify right side
   17,868x = 1,726,070,116
5. Step 5: Solve for x
   x = 1,726,070,116/17,868
6. Step 6: Final answer
   x = 96,601.19