Finding the Third Proportional to 2,538 and 5,880

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538 : 5,880 = 5,880 : x
2. Step 2: Convert to fraction form
   2,538/5,880 = 5,880/x
3. Step 3: Cross multiply
   2,538x = 5,880 × 5,880
4. Step 4: Simplify right side
   2,538x = 34,574,400
5. Step 5: Solve for x
   x = 34,574,400/2,538
6. Step 6: Final answer
   x = 13,622.70