Finding the Third Proportional to 13,666 and 21,450

Step by Step Solution

1. Step 1: Write the proportion equation
   13,666 : 21,450 = 21,450 : x
2. Step 2: Convert to fraction form
   13,666/21,450 = 21,450/x
3. Step 3: Cross multiply
   13,666x = 21,450 × 21,450
4. Step 4: Simplify right side
   13,666x = 460,102,500
5. Step 5: Solve for x
   x = 460,102,500/13,666
6. Step 6: Final answer
   x = 33,667.68