Finding the Third Proportional to 2,174 and 3,258

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174 : 3,258 = 3,258 : x
2. Step 2: Convert to fraction form
   2,174/3,258 = 3,258/x
3. Step 3: Cross multiply
   2,174x = 3,258 × 3,258
4. Step 4: Simplify right side
   2,174x = 10,614,564
5. Step 5: Solve for x
   x = 10,614,564/2,174
6. Step 6: Final answer
   x = 4,882.50