Finding the Third Proportional to 10,648 and 16,119

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 16,119 = 16,119 : x
2. Step 2: Convert to fraction form
   10,648/16,119 = 16,119/x
3. Step 3: Cross multiply
   10,648x = 16,119 × 16,119
4. Step 4: Simplify right side
   10,648x = 259,822,161
5. Step 5: Solve for x
   x = 259,822,161/10,648
6. Step 6: Final answer
   x = 24,401.03