Finding the Third Proportional to 2,648 and 5,905

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648 : 5,905 = 5,905 : x
2. Step 2: Convert to fraction form
   2,648/5,905 = 5,905/x
3. Step 3: Cross multiply
   2,648x = 5,905 × 5,905
4. Step 4: Simplify right side
   2,648x = 34,869,025
5. Step 5: Solve for x
   x = 34,869,025/2,648
6. Step 6: Final answer
   x = 13,168.06