Finding the Third Proportional to 17,838 and 41,192

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 41,192 = 41,192 : x
2. Step 2: Convert to fraction form
   17,838/41,192 = 41,192/x
3. Step 3: Cross multiply
   17,838x = 41,192 × 41,192
4. Step 4: Simplify right side
   17,838x = 1,696,780,864
5. Step 5: Solve for x
   x = 1,696,780,864/17,838
6. Step 6: Final answer
   x = 95,121.70