Finding the Third Proportional to 11,786 and 13,016

Step by Step Solution

1. Step 1: Write the proportion equation
   11,786 : 13,016 = 13,016 : x
2. Step 2: Convert to fraction form
   11,786/13,016 = 13,016/x
3. Step 3: Cross multiply
   11,786x = 13,016 × 13,016
4. Step 4: Simplify right side
   11,786x = 169,416,256
5. Step 5: Solve for x
   x = 169,416,256/11,786
6. Step 6: Final answer
   x = 14,374.36