Finding the Third Proportional to 10,500 and 16,814

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 16,814 = 16,814 : x
2. Step 2: Convert to fraction form
   10,500/16,814 = 16,814/x
3. Step 3: Cross multiply
   10,500x = 16,814 × 16,814
4. Step 4: Simplify right side
   10,500x = 282,710,596
5. Step 5: Solve for x
   x = 282,710,596/10,500
6. Step 6: Final answer
   x = 26,924.82