Finding the Third Proportional to 14,144 and 19,786

Step by Step Solution

1. Step 1: Write the proportion equation
   14,144 : 19,786 = 19,786 : x
2. Step 2: Convert to fraction form
   14,144/19,786 = 19,786/x
3. Step 3: Cross multiply
   14,144x = 19,786 × 19,786
4. Step 4: Simplify right side
   14,144x = 391,485,796
5. Step 5: Solve for x
   x = 391,485,796/14,144
6. Step 6: Final answer
   x = 27,678.58