Finding the Third Proportional to 9,378 and 13,922

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378 : 13,922 = 13,922 : x
2. Step 2: Convert to fraction form
   9,378/13,922 = 13,922/x
3. Step 3: Cross multiply
   9,378x = 13,922 × 13,922
4. Step 4: Simplify right side
   9,378x = 193,822,084
5. Step 5: Solve for x
   x = 193,822,084/9,378
6. Step 6: Final answer
   x = 20,667.74