Finding the Third Proportional to 5,802 and 12,054

Step by Step Solution

1. Step 1: Write the proportion equation
   5,802 : 12,054 = 12,054 : x
2. Step 2: Convert to fraction form
   5,802/12,054 = 12,054/x
3. Step 3: Cross multiply
   5,802x = 12,054 × 12,054
4. Step 4: Simplify right side
   5,802x = 145,298,916
5. Step 5: Solve for x
   x = 145,298,916/5,802
6. Step 6: Final answer
   x = 25,042.90