Finding the Third Proportional to 2,596 and 5,908

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596 : 5,908 = 5,908 : x
2. Step 2: Convert to fraction form
   2,596/5,908 = 5,908/x
3. Step 3: Cross multiply
   2,596x = 5,908 × 5,908
4. Step 4: Simplify right side
   2,596x = 34,904,464
5. Step 5: Solve for x
   x = 34,904,464/2,596
6. Step 6: Final answer
   x = 13,445.48