Finding the Third Proportional to 10,779 and 17,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,779 : 17,308.50 = 17,308.50 : x
2. Step 2: Convert to fraction form
   10,779/17,308.50 = 17,308.50/x
3. Step 3: Cross multiply
   10,779x = 17,308.50 × 17,308.50
4. Step 4: Simplify right side
   10,779x = 299,584,172.25
5. Step 5: Solve for x
   x = 299,584,172.25/10,779
6. Step 6: Final answer
   x = 27,793.32