Finding the Third Proportional to 10,582 and 16,210

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582 : 16,210 = 16,210 : x
2. Step 2: Convert to fraction form
   10,582/16,210 = 16,210/x
3. Step 3: Cross multiply
   10,582x = 16,210 × 16,210
4. Step 4: Simplify right side
   10,582x = 262,764,100
5. Step 5: Solve for x
   x = 262,764,100/10,582
6. Step 6: Final answer
   x = 24,831.23