Finding the Third Proportional to 2,480 and 5,759

Step by Step Solution

1. Step 1: Write the proportion equation
   2,480 : 5,759 = 5,759 : x
2. Step 2: Convert to fraction form
   2,480/5,759 = 5,759/x
3. Step 3: Cross multiply
   2,480x = 5,759 × 5,759
4. Step 4: Simplify right side
   2,480x = 33,166,081
5. Step 5: Solve for x
   x = 33,166,081/2,480
6. Step 6: Final answer
   x = 13,373.42