Finding the Third Proportional to 10,782 and 19,836

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 19,836 = 19,836 : x
2. Step 2: Convert to fraction form
   10,782/19,836 = 19,836/x
3. Step 3: Cross multiply
   10,782x = 19,836 × 19,836
4. Step 4: Simplify right side
   10,782x = 393,466,896
5. Step 5: Solve for x
   x = 393,466,896/10,782
6. Step 6: Final answer
   x = 36,492.94