Finding the Third Proportional to 2,500 and 4,014

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500 : 4,014 = 4,014 : x
2. Step 2: Convert to fraction form
   2,500/4,014 = 4,014/x
3. Step 3: Cross multiply
   2,500x = 4,014 × 4,014
4. Step 4: Simplify right side
   2,500x = 16,112,196
5. Step 5: Solve for x
   x = 16,112,196/2,500
6. Step 6: Final answer
   x = 6,444.88