Finding the Third Proportional to 4,222 and 5,748

Step by Step Solution

1. Step 1: Write the proportion equation
   4,222 : 5,748 = 5,748 : x
2. Step 2: Convert to fraction form
   4,222/5,748 = 5,748/x
3. Step 3: Cross multiply
   4,222x = 5,748 × 5,748
4. Step 4: Simplify right side
   4,222x = 33,039,504
5. Step 5: Solve for x
   x = 33,039,504/4,222
6. Step 6: Final answer
   x = 7,825.56