Finding the Third Proportional to 10,636 and 13,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636 : 13,826 = 13,826 : x
2. Step 2: Convert to fraction form
   10,636/13,826 = 13,826/x
3. Step 3: Cross multiply
   10,636x = 13,826 × 13,826
4. Step 4: Simplify right side
   10,636x = 191,158,276
5. Step 5: Solve for x
   x = 191,158,276/10,636
6. Step 6: Final answer
   x = 17,972.76