Finding the Third Proportional to 2,077 and 5,014

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077 : 5,014 = 5,014 : x
2. Step 2: Convert to fraction form
   2,077/5,014 = 5,014/x
3. Step 3: Cross multiply
   2,077x = 5,014 × 5,014
4. Step 4: Simplify right side
   2,077x = 25,140,196
5. Step 5: Solve for x
   x = 25,140,196/2,077
6. Step 6: Final answer
   x = 12,104.09