Finding the Third Proportional to 1,339.31 and 1,419.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,339.31 : 1,419.19 = 1,419.19 : x
2. Step 2: Convert to fraction form
   1,339.31/1,419.19 = 1,419.19/x
3. Step 3: Cross multiply
   1,339.31x = 1,419.19 × 1,419.19
4. Step 4: Simplify right side
   1,339.31x = 2,014,093.16
5. Step 5: Solve for x
   x = 2,014,093.16/1,339.31
6. Step 6: Final answer
   x = 1,503.83