Finding the Third Proportional to 11,690 and 17,161

Step by Step Solution

1. Step 1: Write the proportion equation
   11,690 : 17,161 = 17,161 : x
2. Step 2: Convert to fraction form
   11,690/17,161 = 17,161/x
3. Step 3: Cross multiply
   11,690x = 17,161 × 17,161
4. Step 4: Simplify right side
   11,690x = 294,499,921
5. Step 5: Solve for x
   x = 294,499,921/11,690
6. Step 6: Final answer
   x = 25,192.47