Finding the Third Proportional to 10,544 and 16,280

Step by Step Solution

1. Step 1: Write the proportion equation
   10,544 : 16,280 = 16,280 : x
2. Step 2: Convert to fraction form
   10,544/16,280 = 16,280/x
3. Step 3: Cross multiply
   10,544x = 16,280 × 16,280
4. Step 4: Simplify right side
   10,544x = 265,038,400
5. Step 5: Solve for x
   x = 265,038,400/10,544
6. Step 6: Final answer
   x = 25,136.42