Finding the Third Proportional to 3,468 and 3,714

Step by Step Solution

1. Step 1: Write the proportion equation
   3,468 : 3,714 = 3,714 : x
2. Step 2: Convert to fraction form
   3,468/3,714 = 3,714/x
3. Step 3: Cross multiply
   3,468x = 3,714 × 3,714
4. Step 4: Simplify right side
   3,468x = 13,793,796
5. Step 5: Solve for x
   x = 13,793,796/3,468
6. Step 6: Final answer
   x = 3,977.45