Finding the Third Proportional to 11,864 and 19,676

Step by Step Solution

1. Step 1: Write the proportion equation
   11,864 : 19,676 = 19,676 : x
2. Step 2: Convert to fraction form
   11,864/19,676 = 19,676/x
3. Step 3: Cross multiply
   11,864x = 19,676 × 19,676
4. Step 4: Simplify right side
   11,864x = 387,144,976
5. Step 5: Solve for x
   x = 387,144,976/11,864
6. Step 6: Final answer
   x = 32,631.91