Finding the Third Proportional to 7,111 and 10,667

Step by Step Solution

1. Step 1: Write the proportion equation
   7,111 : 10,667 = 10,667 : x
2. Step 2: Convert to fraction form
   7,111/10,667 = 10,667/x
3. Step 3: Cross multiply
   7,111x = 10,667 × 10,667
4. Step 4: Simplify right side
   7,111x = 113,784,889
5. Step 5: Solve for x
   x = 113,784,889/7,111
6. Step 6: Final answer
   x = 16,001.25