Finding the Third Proportional to 2,176 and 3,222

Step by Step Solution

1. Step 1: Write the proportion equation
   2,176 : 3,222 = 3,222 : x
2. Step 2: Convert to fraction form
   2,176/3,222 = 3,222/x
3. Step 3: Cross multiply
   2,176x = 3,222 × 3,222
4. Step 4: Simplify right side
   2,176x = 10,381,284
5. Step 5: Solve for x
   x = 10,381,284/2,176
6. Step 6: Final answer
   x = 4,770.81