Finding the Third Proportional to 11,180 and 19,696

Step by Step Solution

1. Step 1: Write the proportion equation
   11,180 : 19,696 = 19,696 : x
2. Step 2: Convert to fraction form
   11,180/19,696 = 19,696/x
3. Step 3: Cross multiply
   11,180x = 19,696 × 19,696
4. Step 4: Simplify right side
   11,180x = 387,932,416
5. Step 5: Solve for x
   x = 387,932,416/11,180
6. Step 6: Final answer
   x = 34,698.78