Finding the Third Proportional to 5,789 and 12,667

Step by Step Solution

1. Step 1: Write the proportion equation
   5,789 : 12,667 = 12,667 : x
2. Step 2: Convert to fraction form
   5,789/12,667 = 12,667/x
3. Step 3: Cross multiply
   5,789x = 12,667 × 12,667
4. Step 4: Simplify right side
   5,789x = 160,452,889
5. Step 5: Solve for x
   x = 160,452,889/5,789
6. Step 6: Final answer
   x = 27,716.86