Finding the Third Proportional to 10,800 and 16,516

Step by Step Solution

1. Step 1: Write the proportion equation
   10,800 : 16,516 = 16,516 : x
2. Step 2: Convert to fraction form
   10,800/16,516 = 16,516/x
3. Step 3: Cross multiply
   10,800x = 16,516 × 16,516
4. Step 4: Simplify right side
   10,800x = 272,778,256
5. Step 5: Solve for x
   x = 272,778,256/10,800
6. Step 6: Final answer
   x = 25,257.25