Finding the Third Proportional to 5,380 and 12,020

Step by Step Solution

1. Step 1: Write the proportion equation
   5,380 : 12,020 = 12,020 : x
2. Step 2: Convert to fraction form
   5,380/12,020 = 12,020/x
3. Step 3: Cross multiply
   5,380x = 12,020 × 12,020
4. Step 4: Simplify right side
   5,380x = 144,480,400
5. Step 5: Solve for x
   x = 144,480,400/5,380
6. Step 6: Final answer
   x = 26,855.09