Finding the Third Proportional to 2,462.50 and 5,271

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.50 : 5,271 = 5,271 : x
2. Step 2: Convert to fraction form
   2,462.50/5,271 = 5,271/x
3. Step 3: Cross multiply
   2,462.50x = 5,271 × 5,271
4. Step 4: Simplify right side
   2,462.50x = 27,783,441
5. Step 5: Solve for x
   x = 27,783,441/2,462.50
6. Step 6: Final answer
   x = 11,282.62