Finding the Third Proportional to 5,802 and 12,648

Step by Step Solution

1. Step 1: Write the proportion equation
   5,802 : 12,648 = 12,648 : x
2. Step 2: Convert to fraction form
   5,802/12,648 = 12,648/x
3. Step 3: Cross multiply
   5,802x = 12,648 × 12,648
4. Step 4: Simplify right side
   5,802x = 159,971,904
5. Step 5: Solve for x
   x = 159,971,904/5,802
6. Step 6: Final answer
   x = 27,571.86