Finding the Third Proportional to 2,380 and 5,192

Step by Step Solution

1. Step 1: Write the proportion equation
   2,380 : 5,192 = 5,192 : x
2. Step 2: Convert to fraction form
   2,380/5,192 = 5,192/x
3. Step 3: Cross multiply
   2,380x = 5,192 × 5,192
4. Step 4: Simplify right side
   2,380x = 26,956,864
5. Step 5: Solve for x
   x = 26,956,864/2,380
6. Step 6: Final answer
   x = 11,326.41