Finding the Third Proportional to 7,779 and 10,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,779 : 10,390.50 = 10,390.50 : x
2. Step 2: Convert to fraction form
   7,779/10,390.50 = 10,390.50/x
3. Step 3: Cross multiply
   7,779x = 10,390.50 × 10,390.50
4. Step 4: Simplify right side
   7,779x = 107,962,490.25
5. Step 5: Solve for x
   x = 107,962,490.25/7,779
6. Step 6: Final answer
   x = 13,878.71