Finding the Third Proportional to 11,105 and 13,157

Step by Step Solution

1. Step 1: Write the proportion equation
   11,105 : 13,157 = 13,157 : x
2. Step 2: Convert to fraction form
   11,105/13,157 = 13,157/x
3. Step 3: Cross multiply
   11,105x = 13,157 × 13,157
4. Step 4: Simplify right side
   11,105x = 173,106,649
5. Step 5: Solve for x
   x = 173,106,649/11,105
6. Step 6: Final answer
   x = 15,588.17