Finding the Third Proportional to 2,478 and 5,853

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478 : 5,853 = 5,853 : x
2. Step 2: Convert to fraction form
   2,478/5,853 = 5,853/x
3. Step 3: Cross multiply
   2,478x = 5,853 × 5,853
4. Step 4: Simplify right side
   2,478x = 34,257,609
5. Step 5: Solve for x
   x = 34,257,609/2,478
6. Step 6: Final answer
   x = 13,824.70