Finding the Third Proportional to 10,366 and 19,696

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 19,696 = 19,696 : x
2. Step 2: Convert to fraction form
   10,366/19,696 = 19,696/x
3. Step 3: Cross multiply
   10,366x = 19,696 × 19,696
4. Step 4: Simplify right side
   10,366x = 387,932,416
5. Step 5: Solve for x
   x = 387,932,416/10,366
6. Step 6: Final answer
   x = 37,423.54