Finding the Third Proportional to 1,022.31 and 1,573.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.31 : 1,573.49 = 1,573.49 : x
2. Step 2: Convert to fraction form
   1,022.31/1,573.49 = 1,573.49/x
3. Step 3: Cross multiply
   1,022.31x = 1,573.49 × 1,573.49
4. Step 4: Simplify right side
   1,022.31x = 2,475,865.37
5. Step 5: Solve for x
   x = 2,475,865.37/1,022.31
6. Step 6: Final answer
   x = 2,421.84