Finding the Third Proportional to 13,864 and 21,786

Step by Step Solution

1. Step 1: Write the proportion equation
   13,864 : 21,786 = 21,786 : x
2. Step 2: Convert to fraction form
   13,864/21,786 = 21,786/x
3. Step 3: Cross multiply
   13,864x = 21,786 × 21,786
4. Step 4: Simplify right side
   13,864x = 474,629,796
5. Step 5: Solve for x
   x = 474,629,796/13,864
6. Step 6: Final answer
   x = 34,234.69