Finding the Third Proportional to 10,444 and 19,676

Step by Step Solution

1. Step 1: Write the proportion equation
   10,444 : 19,676 = 19,676 : x
2. Step 2: Convert to fraction form
   10,444/19,676 = 19,676/x
3. Step 3: Cross multiply
   10,444x = 19,676 × 19,676
4. Step 4: Simplify right side
   10,444x = 387,144,976
5. Step 5: Solve for x
   x = 387,144,976/10,444
6. Step 6: Final answer
   x = 37,068.65