Finding the Third Proportional to 10,197 and 13,809

Step by Step Solution

1. Step 1: Write the proportion equation
   10,197 : 13,809 = 13,809 : x
2. Step 2: Convert to fraction form
   10,197/13,809 = 13,809/x
3. Step 3: Cross multiply
   10,197x = 13,809 × 13,809
4. Step 4: Simplify right side
   10,197x = 190,688,481
5. Step 5: Solve for x
   x = 190,688,481/10,197
6. Step 6: Final answer
   x = 18,700.45