Finding the Third Proportional to 1,480.78 and 3,419.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,480.78 : 3,419.30 = 3,419.30 : x
2. Step 2: Convert to fraction form
   1,480.78/3,419.30 = 3,419.30/x
3. Step 3: Cross multiply
   1,480.78x = 3,419.30 × 3,419.30
4. Step 4: Simplify right side
   1,480.78x = 11,691,591.12
5. Step 5: Solve for x
   x = 11,691,591.12/1,480.78
6. Step 6: Final answer
   x = 7,895.56