Finding the Third Proportional to 10,628 and 13,814

Step by Step Solution

1. Step 1: Write the proportion equation
   10,628 : 13,814 = 13,814 : x
2. Step 2: Convert to fraction form
   10,628/13,814 = 13,814/x
3. Step 3: Cross multiply
   10,628x = 13,814 × 13,814
4. Step 4: Simplify right side
   10,628x = 190,826,596
5. Step 5: Solve for x
   x = 190,826,596/10,628
6. Step 6: Final answer
   x = 17,955.08