Finding the Third Proportional to 10,780 and 23,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 23,826 = 23,826 : x
2. Step 2: Convert to fraction form
   10,780/23,826 = 23,826/x
3. Step 3: Cross multiply
   10,780x = 23,826 × 23,826
4. Step 4: Simplify right side
   10,780x = 567,678,276
5. Step 5: Solve for x
   x = 567,678,276/10,780
6. Step 6: Final answer
   x = 52,660.32