Finding the Third Proportional to 4,819 and 10,289

Step by Step Solution

1. Step 1: Write the proportion equation
   4,819 : 10,289 = 10,289 : x
2. Step 2: Convert to fraction form
   4,819/10,289 = 10,289/x
3. Step 3: Cross multiply
   4,819x = 10,289 × 10,289
4. Step 4: Simplify right side
   4,819x = 105,863,521
5. Step 5: Solve for x
   x = 105,863,521/4,819
6. Step 6: Final answer
   x = 21,967.94