Finding the Third Proportional to 5,300 and 11,510

Step by Step Solution

1. Step 1: Write the proportion equation
   5,300 : 11,510 = 11,510 : x
2. Step 2: Convert to fraction form
   5,300/11,510 = 11,510/x
3. Step 3: Cross multiply
   5,300x = 11,510 × 11,510
4. Step 4: Simplify right side
   5,300x = 132,480,100
5. Step 5: Solve for x
   x = 132,480,100/5,300
6. Step 6: Final answer
   x = 24,996.25