Finding the Third Proportional to 5,020 and 10,619

Step by Step Solution

1. Step 1: Write the proportion equation
   5,020 : 10,619 = 10,619 : x
2. Step 2: Convert to fraction form
   5,020/10,619 = 10,619/x
3. Step 3: Cross multiply
   5,020x = 10,619 × 10,619
4. Step 4: Simplify right side
   5,020x = 112,763,161
5. Step 5: Solve for x
   x = 112,763,161/5,020
6. Step 6: Final answer
   x = 22,462.78