Finding the Third Proportional to 10,782 and 16,187

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 16,187 = 16,187 : x
2. Step 2: Convert to fraction form
   10,782/16,187 = 16,187/x
3. Step 3: Cross multiply
   10,782x = 16,187 × 16,187
4. Step 4: Simplify right side
   10,782x = 262,018,969
5. Step 5: Solve for x
   x = 262,018,969/10,782
6. Step 6: Final answer
   x = 24,301.52