Finding the Third Proportional to 2,371 and 5,012

Step by Step Solution

1. Step 1: Write the proportion equation
   2,371 : 5,012 = 5,012 : x
2. Step 2: Convert to fraction form
   2,371/5,012 = 5,012/x
3. Step 3: Cross multiply
   2,371x = 5,012 × 5,012
4. Step 4: Simplify right side
   2,371x = 25,120,144
5. Step 5: Solve for x
   x = 25,120,144/2,371
6. Step 6: Final answer
   x = 10,594.75