Finding the Third Proportional to 2,014 and 5,155

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014 : 5,155 = 5,155 : x
2. Step 2: Convert to fraction form
   2,014/5,155 = 5,155/x
3. Step 3: Cross multiply
   2,014x = 5,155 × 5,155
4. Step 4: Simplify right side
   2,014x = 26,574,025
5. Step 5: Solve for x
   x = 26,574,025/2,014
6. Step 6: Final answer
   x = 13,194.65