Finding the Third Proportional to 2,366 and 4,222

Step by Step Solution

1. Step 1: Write the proportion equation
   2,366 : 4,222 = 4,222 : x
2. Step 2: Convert to fraction form
   2,366/4,222 = 4,222/x
3. Step 3: Cross multiply
   2,366x = 4,222 × 4,222
4. Step 4: Simplify right side
   2,366x = 17,825,284
5. Step 5: Solve for x
   x = 17,825,284/2,366
6. Step 6: Final answer
   x = 7,533.93