Finding the Third Proportional to 5,679.75 and 12,419.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,679.75 : 12,419.25 = 12,419.25 : x
2. Step 2: Convert to fraction form
   5,679.75/12,419.25 = 12,419.25/x
3. Step 3: Cross multiply
   5,679.75x = 12,419.25 × 12,419.25
4. Step 4: Simplify right side
   5,679.75x = 154,237,770.56
5. Step 5: Solve for x
   x = 154,237,770.56/5,679.75
6. Step 6: Final answer
   x = 27,155.73