Finding the Third Proportional to 10,287 and 13,906.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,287 : 13,906.69 = 13,906.69 : x
2. Step 2: Convert to fraction form
   10,287/13,906.69 = 13,906.69/x
3. Step 3: Cross multiply
   10,287x = 13,906.69 × 13,906.69
4. Step 4: Simplify right side
   10,287x = 193,395,957.22
5. Step 5: Solve for x
   x = 193,395,957.22/10,287
6. Step 6: Final answer
   x = 18,800.03