Finding the Third Proportional to 6,380 and 12,112

Step by Step Solution

1. Step 1: Write the proportion equation
   6,380 : 12,112 = 12,112 : x
2. Step 2: Convert to fraction form
   6,380/12,112 = 12,112/x
3. Step 3: Cross multiply
   6,380x = 12,112 × 12,112
4. Step 4: Simplify right side
   6,380x = 146,700,544
5. Step 5: Solve for x
   x = 146,700,544/6,380
6. Step 6: Final answer
   x = 22,993.82