Finding the Third Proportional to 13,836 and 21,257.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,836 : 21,257.25 = 21,257.25 : x
2. Step 2: Convert to fraction form
   13,836/21,257.25 = 21,257.25/x
3. Step 3: Cross multiply
   13,836x = 21,257.25 × 21,257.25
4. Step 4: Simplify right side
   13,836x = 451,870,677.56
5. Step 5: Solve for x
   x = 451,870,677.56/13,836
6. Step 6: Final answer
   x = 32,659.05