Finding the Third Proportional to 2,279.25 and 3,419.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,279.25 : 3,419.63 = 3,419.63 : x
2. Step 2: Convert to fraction form
   2,279.25/3,419.63 = 3,419.63/x
3. Step 3: Cross multiply
   2,279.25x = 3,419.63 × 3,419.63
4. Step 4: Simplify right side
   2,279.25x = 11,693,835.14
5. Step 5: Solve for x
   x = 11,693,835.14/2,279.25
6. Step 6: Final answer
   x = 5,130.56