Finding the Third Proportional to 4,880.25 and 7,759.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,880.25 : 7,759.69 = 7,759.69 : x
2. Step 2: Convert to fraction form
   4,880.25/7,759.69 = 7,759.69/x
3. Step 3: Cross multiply
   4,880.25x = 7,759.69 × 7,759.69
4. Step 4: Simplify right side
   4,880.25x = 60,212,750.10
5. Step 5: Solve for x
   x = 60,212,750.10/4,880.25
6. Step 6: Final answer
   x = 12,338.05