Finding the Third Proportional to 10,678 and 19,724

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678 : 19,724 = 19,724 : x
2. Step 2: Convert to fraction form
   10,678/19,724 = 19,724/x
3. Step 3: Cross multiply
   10,678x = 19,724 × 19,724
4. Step 4: Simplify right side
   10,678x = 389,036,176
5. Step 5: Solve for x
   x = 389,036,176/10,678
6. Step 6: Final answer
   x = 36,433.43