Finding the Third Proportional to 10,779 and 23,565

Step by Step Solution

1. Step 1: Write the proportion equation
   10,779 : 23,565 = 23,565 : x
2. Step 2: Convert to fraction form
   10,779/23,565 = 23,565/x
3. Step 3: Cross multiply
   10,779x = 23,565 × 23,565
4. Step 4: Simplify right side
   10,779x = 555,309,225
5. Step 5: Solve for x
   x = 555,309,225/10,779
6. Step 6: Final answer
   x = 51,517.69