Finding the Third Proportional to 2,456 and 5,323

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456 : 5,323 = 5,323 : x
2. Step 2: Convert to fraction form
   2,456/5,323 = 5,323/x
3. Step 3: Cross multiply
   2,456x = 5,323 × 5,323
4. Step 4: Simplify right side
   2,456x = 28,334,329
5. Step 5: Solve for x
   x = 28,334,329/2,456
6. Step 6: Final answer
   x = 11,536.78