Finding the Third Proportional to 1,032.38 and 1,419.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.38 : 1,419.94 = 1,419.94 : x
2. Step 2: Convert to fraction form
   1,032.38/1,419.94 = 1,419.94/x
3. Step 3: Cross multiply
   1,032.38x = 1,419.94 × 1,419.94
4. Step 4: Simplify right side
   1,032.38x = 2,016,222.50
5. Step 5: Solve for x
   x = 2,016,222.50/1,032.38
6. Step 6: Final answer
   x = 1,952.99