Finding the Third Proportional to 2,174 and 4,828

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174 : 4,828 = 4,828 : x
2. Step 2: Convert to fraction form
   2,174/4,828 = 4,828/x
3. Step 3: Cross multiply
   2,174x = 4,828 × 4,828
4. Step 4: Simplify right side
   2,174x = 23,309,584
5. Step 5: Solve for x
   x = 23,309,584/2,174
6. Step 6: Final answer
   x = 10,721.98