Finding the Third Proportional to 13,538 and 20,667

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538 : 20,667 = 20,667 : x
2. Step 2: Convert to fraction form
   13,538/20,667 = 20,667/x
3. Step 3: Cross multiply
   13,538x = 20,667 × 20,667
4. Step 4: Simplify right side
   13,538x = 427,124,889
5. Step 5: Solve for x
   x = 427,124,889/13,538
6. Step 6: Final answer
   x = 31,550.07