Finding the Third Proportional to 17,384 and 41,008

Step by Step Solution

1. Step 1: Write the proportion equation
   17,384 : 41,008 = 41,008 : x
2. Step 2: Convert to fraction form
   17,384/41,008 = 41,008/x
3. Step 3: Cross multiply
   17,384x = 41,008 × 41,008
4. Step 4: Simplify right side
   17,384x = 1,681,656,064
5. Step 5: Solve for x
   x = 1,681,656,064/17,384
6. Step 6: Final answer
   x = 96,735.85