Finding the Third Proportional to 2,378 and 5,222

Step by Step Solution

1. Step 1: Write the proportion equation
   2,378 : 5,222 = 5,222 : x
2. Step 2: Convert to fraction form
   2,378/5,222 = 5,222/x
3. Step 3: Cross multiply
   2,378x = 5,222 × 5,222
4. Step 4: Simplify right side
   2,378x = 27,269,284
5. Step 5: Solve for x
   x = 27,269,284/2,378
6. Step 6: Final answer
   x = 11,467.32