Finding the Third Proportional to 10,582 and 16,752

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582 : 16,752 = 16,752 : x
2. Step 2: Convert to fraction form
   10,582/16,752 = 16,752/x
3. Step 3: Cross multiply
   10,582x = 16,752 × 16,752
4. Step 4: Simplify right side
   10,582x = 280,629,504
5. Step 5: Solve for x
   x = 280,629,504/10,582
6. Step 6: Final answer
   x = 26,519.51