Finding the Third Proportional to 10,510 and 19,544

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510 : 19,544 = 19,544 : x
2. Step 2: Convert to fraction form
   10,510/19,544 = 19,544/x
3. Step 3: Cross multiply
   10,510x = 19,544 × 19,544
4. Step 4: Simplify right side
   10,510x = 381,967,936
5. Step 5: Solve for x
   x = 381,967,936/10,510
6. Step 6: Final answer
   x = 36,343.29