Finding the Third Proportional to 11,671 and 17,005

Step by Step Solution

1. Step 1: Write the proportion equation
   11,671 : 17,005 = 17,005 : x
2. Step 2: Convert to fraction form
   11,671/17,005 = 17,005/x
3. Step 3: Cross multiply
   11,671x = 17,005 × 17,005
4. Step 4: Simplify right side
   11,671x = 289,170,025
5. Step 5: Solve for x
   x = 289,170,025/11,671
6. Step 6: Final answer
   x = 24,776.80