Finding the Third Proportional to 11,116 and 16,786

Step by Step Solution

1. Step 1: Write the proportion equation
   11,116 : 16,786 = 16,786 : x
2. Step 2: Convert to fraction form
   11,116/16,786 = 16,786/x
3. Step 3: Cross multiply
   11,116x = 16,786 × 16,786
4. Step 4: Simplify right side
   11,116x = 281,769,796
5. Step 5: Solve for x
   x = 281,769,796/11,116
6. Step 6: Final answer
   x = 25,348.13