Finding the Third Proportional to 13,111 and 19,667

Step by Step Solution

1. Step 1: Write the proportion equation
   13,111 : 19,667 = 19,667 : x
2. Step 2: Convert to fraction form
   13,111/19,667 = 19,667/x
3. Step 3: Cross multiply
   13,111x = 19,667 × 19,667
4. Step 4: Simplify right side
   13,111x = 386,790,889
5. Step 5: Solve for x
   x = 386,790,889/13,111
6. Step 6: Final answer
   x = 29,501.25