Finding the Third Proportional to 1,419.19 and 1,696.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.19 : 1,696.78 = 1,696.78 : x
2. Step 2: Convert to fraction form
   1,419.19/1,696.78 = 1,696.78/x
3. Step 3: Cross multiply
   1,419.19x = 1,696.78 × 1,696.78
4. Step 4: Simplify right side
   1,419.19x = 2,879,066.61
5. Step 5: Solve for x
   x = 2,879,066.61/1,419.19
6. Step 6: Final answer
   x = 2,028.67