Finding the Third Proportional to 10,866 and 14,678

Step by Step Solution

1. Step 1: Write the proportion equation
   10,866 : 14,678 = 14,678 : x
2. Step 2: Convert to fraction form
   10,866/14,678 = 14,678/x
3. Step 3: Cross multiply
   10,866x = 14,678 × 14,678
4. Step 4: Simplify right side
   10,866x = 215,443,684
5. Step 5: Solve for x
   x = 215,443,684/10,866
6. Step 6: Final answer
   x = 19,827.32