Finding the Third Proportional to 4,818 and 10,519

Step by Step Solution

1. Step 1: Write the proportion equation
   4,818 : 10,519 = 10,519 : x
2. Step 2: Convert to fraction form
   4,818/10,519 = 10,519/x
3. Step 3: Cross multiply
   4,818x = 10,519 × 10,519
4. Step 4: Simplify right side
   4,818x = 110,649,361
5. Step 5: Solve for x
   x = 110,649,361/4,818
6. Step 6: Final answer
   x = 22,965.83