Finding the Third Proportional to 2,365 and 5,140

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365 : 5,140 = 5,140 : x
2. Step 2: Convert to fraction form
   2,365/5,140 = 5,140/x
3. Step 3: Cross multiply
   2,365x = 5,140 × 5,140
4. Step 4: Simplify right side
   2,365x = 26,419,600
5. Step 5: Solve for x
   x = 26,419,600/2,365
6. Step 6: Final answer
   x = 11,171.08