Finding the Third Proportional to 4,196 and 5,582

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196 : 5,582 = 5,582 : x
2. Step 2: Convert to fraction form
   4,196/5,582 = 5,582/x
3. Step 3: Cross multiply
   4,196x = 5,582 × 5,582
4. Step 4: Simplify right side
   4,196x = 31,158,724
5. Step 5: Solve for x
   x = 31,158,724/4,196
6. Step 6: Final answer
   x = 7,425.82