Finding the Third Proportional to 1,434.38 and 2,021.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434.38 : 2,021.63 = 2,021.63 : x
2. Step 2: Convert to fraction form
   1,434.38/2,021.63 = 2,021.63/x
3. Step 3: Cross multiply
   1,434.38x = 2,021.63 × 2,021.63
4. Step 4: Simplify right side
   1,434.38x = 4,086,967.64
5. Step 5: Solve for x
   x = 4,086,967.64/1,434.38
6. Step 6: Final answer
   x = 2,849.30