Finding the Third Proportional to 11,786 and 17,478

Step by Step Solution

1. Step 1: Write the proportion equation
   11,786 : 17,478 = 17,478 : x
2. Step 2: Convert to fraction form
   11,786/17,478 = 17,478/x
3. Step 3: Cross multiply
   11,786x = 17,478 × 17,478
4. Step 4: Simplify right side
   11,786x = 305,480,484
5. Step 5: Solve for x
   x = 305,480,484/11,786
6. Step 6: Final answer
   x = 25,918.93