Finding the Third Proportional to 1,081.69 and 2,419.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081.69 : 2,419.03 = 2,419.03 : x
2. Step 2: Convert to fraction form
   1,081.69/2,419.03 = 2,419.03/x
3. Step 3: Cross multiply
   1,081.69x = 2,419.03 × 2,419.03
4. Step 4: Simplify right side
   1,081.69x = 5,851,712.19
5. Step 5: Solve for x
   x = 5,851,712.19/1,081.69
6. Step 6: Final answer
   x = 5,409.80