Finding the Third Proportional to 2,174 and 5,711

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174 : 5,711 = 5,711 : x
2. Step 2: Convert to fraction form
   2,174/5,711 = 5,711/x
3. Step 3: Cross multiply
   2,174x = 5,711 × 5,711
4. Step 4: Simplify right side
   2,174x = 32,615,521
5. Step 5: Solve for x
   x = 32,615,521/2,174
6. Step 6: Final answer
   x = 15,002.54