Finding the Third Proportional to 2,174 and 4,662

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174 : 4,662 = 4,662 : x
2. Step 2: Convert to fraction form
   2,174/4,662 = 4,662/x
3. Step 3: Cross multiply
   2,174x = 4,662 × 4,662
4. Step 4: Simplify right side
   2,174x = 21,734,244
5. Step 5: Solve for x
   x = 21,734,244/2,174
6. Step 6: Final answer
   x = 9,997.35