Finding the Third Proportional to 2,602 and 5,977

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602 : 5,977 = 5,977 : x
2. Step 2: Convert to fraction form
   2,602/5,977 = 5,977/x
3. Step 3: Cross multiply
   2,602x = 5,977 × 5,977
4. Step 4: Simplify right side
   2,602x = 35,724,529
5. Step 5: Solve for x
   x = 35,724,529/2,602
6. Step 6: Final answer
   x = 13,729.64