Finding the Third Proportional to 13,686 and 21,132

Step by Step Solution

1. Step 1: Write the proportion equation
   13,686 : 21,132 = 21,132 : x
2. Step 2: Convert to fraction form
   13,686/21,132 = 21,132/x
3. Step 3: Cross multiply
   13,686x = 21,132 × 21,132
4. Step 4: Simplify right side
   13,686x = 446,561,424
5. Step 5: Solve for x
   x = 446,561,424/13,686
6. Step 6: Final answer
   x = 32,629.07