Finding the Third Proportional to 13,686 and 21,233

Step by Step Solution

1. Step 1: Write the proportion equation
   13,686 : 21,233 = 21,233 : x
2. Step 2: Convert to fraction form
   13,686/21,233 = 21,233/x
3. Step 3: Cross multiply
   13,686x = 21,233 × 21,233
4. Step 4: Simplify right side
   13,686x = 450,840,289
5. Step 5: Solve for x
   x = 450,840,289/13,686
6. Step 6: Final answer
   x = 32,941.71