Finding the Third Proportional to 7,780 and 16,789

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780 : 16,789 = 16,789 : x
2. Step 2: Convert to fraction form
   7,780/16,789 = 16,789/x
3. Step 3: Cross multiply
   7,780x = 16,789 × 16,789
4. Step 4: Simplify right side
   7,780x = 281,870,521
5. Step 5: Solve for x
   x = 281,870,521/7,780
6. Step 6: Final answer
   x = 36,230.14