Finding the Third Proportional to 2,174 and 5,077

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174 : 5,077 = 5,077 : x
2. Step 2: Convert to fraction form
   2,174/5,077 = 5,077/x
3. Step 3: Cross multiply
   2,174x = 5,077 × 5,077
4. Step 4: Simplify right side
   2,174x = 25,775,929
5. Step 5: Solve for x
   x = 25,775,929/2,174
6. Step 6: Final answer
   x = 11,856.45