Finding the Third Proportional to 8,036 and 12,678

Step by Step Solution

1. Step 1: Write the proportion equation
   8,036 : 12,678 = 12,678 : x
2. Step 2: Convert to fraction form
   8,036/12,678 = 12,678/x
3. Step 3: Cross multiply
   8,036x = 12,678 × 12,678
4. Step 4: Simplify right side
   8,036x = 160,731,684
5. Step 5: Solve for x
   x = 160,731,684/8,036
6. Step 6: Final answer
   x = 20,001.45