Finding the Third Proportional to 7,886 and 17,105

Step by Step Solution

1. Step 1: Write the proportion equation
   7,886 : 17,105 = 17,105 : x
2. Step 2: Convert to fraction form
   7,886/17,105 = 17,105/x
3. Step 3: Cross multiply
   7,886x = 17,105 × 17,105
4. Step 4: Simplify right side
   7,886x = 292,581,025
5. Step 5: Solve for x
   x = 292,581,025/7,886
6. Step 6: Final answer
   x = 37,101.32