Finding the Third Proportional to 2,384 and 5,180

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384 : 5,180 = 5,180 : x
2. Step 2: Convert to fraction form
   2,384/5,180 = 5,180/x
3. Step 3: Cross multiply
   2,384x = 5,180 × 5,180
4. Step 4: Simplify right side
   2,384x = 26,832,400
5. Step 5: Solve for x
   x = 26,832,400/2,384
6. Step 6: Final answer
   x = 11,255.20