Finding the Third Proportional to 11,106 and 17,145

Step by Step Solution

1. Step 1: Write the proportion equation
   11,106 : 17,145 = 17,145 : x
2. Step 2: Convert to fraction form
   11,106/17,145 = 17,145/x
3. Step 3: Cross multiply
   11,106x = 17,145 × 17,145
4. Step 4: Simplify right side
   11,106x = 293,951,025
5. Step 5: Solve for x
   x = 293,951,025/11,106
6. Step 6: Final answer
   x = 26,467.77