Finding the Third Proportional to 2,380 and 3,714

Step by Step Solution

1. Step 1: Write the proportion equation
   2,380 : 3,714 = 3,714 : x
2. Step 2: Convert to fraction form
   2,380/3,714 = 3,714/x
3. Step 3: Cross multiply
   2,380x = 3,714 × 3,714
4. Step 4: Simplify right side
   2,380x = 13,793,796
5. Step 5: Solve for x
   x = 13,793,796/2,380
6. Step 6: Final answer
   x = 5,795.71