Finding the Third Proportional to 2,000 and 5,114

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000 : 5,114 = 5,114 : x
2. Step 2: Convert to fraction form
   2,000/5,114 = 5,114/x
3. Step 3: Cross multiply
   2,000x = 5,114 × 5,114
4. Step 4: Simplify right side
   2,000x = 26,152,996
5. Step 5: Solve for x
   x = 26,152,996/2,000
6. Step 6: Final answer
   x = 13,076.50