Finding the Third Proportional to 12,536 and 18,667

Step by Step Solution

1. Step 1: Write the proportion equation
   12,536 : 18,667 = 18,667 : x
2. Step 2: Convert to fraction form
   12,536/18,667 = 18,667/x
3. Step 3: Cross multiply
   12,536x = 18,667 × 18,667
4. Step 4: Simplify right side
   12,536x = 348,456,889
5. Step 5: Solve for x
   x = 348,456,889/12,536
6. Step 6: Final answer
   x = 27,796.50