Finding the Third Proportional to 19,816 and 30,782

Step by Step Solution

1. Step 1: Write the proportion equation
   19,816 : 30,782 = 30,782 : x
2. Step 2: Convert to fraction form
   19,816/30,782 = 30,782/x
3. Step 3: Cross multiply
   19,816x = 30,782 × 30,782
4. Step 4: Simplify right side
   19,816x = 947,531,524
5. Step 5: Solve for x
   x = 947,531,524/19,816
6. Step 6: Final answer
   x = 47,816.49