Finding the Third Proportional to 10,200 and 13,727

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200 : 13,727 = 13,727 : x
2. Step 2: Convert to fraction form
   10,200/13,727 = 13,727/x
3. Step 3: Cross multiply
   10,200x = 13,727 × 13,727
4. Step 4: Simplify right side
   10,200x = 188,430,529
5. Step 5: Solve for x
   x = 188,430,529/10,200
6. Step 6: Final answer
   x = 18,473.58