Finding the Third Proportional to 10,216.13 and 12,286.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.13 : 12,286.69 = 12,286.69 : x
2. Step 2: Convert to fraction form
   10,216.13/12,286.69 = 12,286.69/x
3. Step 3: Cross multiply
   10,216.13x = 12,286.69 × 12,286.69
4. Step 4: Simplify right side
   10,216.13x = 150,962,689.72
5. Step 5: Solve for x
   x = 150,962,689.72/10,216.13
6. Step 6: Final answer
   x = 14,776.90