Finding the Third Proportional to 10,977 and 23,682

Step by Step Solution

1. Step 1: Write the proportion equation
   10,977 : 23,682 = 23,682 : x
2. Step 2: Convert to fraction form
   10,977/23,682 = 23,682/x
3. Step 3: Cross multiply
   10,977x = 23,682 × 23,682
4. Step 4: Simplify right side
   10,977x = 560,837,124
5. Step 5: Solve for x
   x = 560,837,124/10,977
6. Step 6: Final answer
   x = 51,092.02