Finding the Third Proportional to 5,456 and 12,814

Step by Step Solution

1. Step 1: Write the proportion equation
   5,456 : 12,814 = 12,814 : x
2. Step 2: Convert to fraction form
   5,456/12,814 = 12,814/x
3. Step 3: Cross multiply
   5,456x = 12,814 × 12,814
4. Step 4: Simplify right side
   5,456x = 164,198,596
5. Step 5: Solve for x
   x = 164,198,596/5,456
6. Step 6: Final answer
   x = 30,095.05