Finding the Third Proportional to 8,036 and 13,814

Step by Step Solution

1. Step 1: Write the proportion equation
   8,036 : 13,814 = 13,814 : x
2. Step 2: Convert to fraction form
   8,036/13,814 = 13,814/x
3. Step 3: Cross multiply
   8,036x = 13,814 × 13,814
4. Step 4: Simplify right side
   8,036x = 190,826,596
5. Step 5: Solve for x
   x = 190,826,596/8,036
6. Step 6: Final answer
   x = 23,746.47