Finding the Third Proportional to 1,092.94 and 1,434.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.94 : 1,434.38 = 1,434.38 : x
2. Step 2: Convert to fraction form
   1,092.94/1,434.38 = 1,434.38/x
3. Step 3: Cross multiply
   1,092.94x = 1,434.38 × 1,434.38
4. Step 4: Simplify right side
   1,092.94x = 2,057,431.64
5. Step 5: Solve for x
   x = 2,057,431.64/1,092.94
6. Step 6: Final answer
   x = 1,882.48