Finding the Third Proportional to 9,814 and 13,161

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814 : 13,161 = 13,161 : x
2. Step 2: Convert to fraction form
   9,814/13,161 = 13,161/x
3. Step 3: Cross multiply
   9,814x = 13,161 × 13,161
4. Step 4: Simplify right side
   9,814x = 173,211,921
5. Step 5: Solve for x
   x = 173,211,921/9,814
6. Step 6: Final answer
   x = 17,649.47