Finding the Third Proportional to 1,142.44 and 1,735.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.44 : 1,735.31 = 1,735.31 : x
2. Step 2: Convert to fraction form
   1,142.44/1,735.31 = 1,735.31/x
3. Step 3: Cross multiply
   1,142.44x = 1,735.31 × 1,735.31
4. Step 4: Simplify right side
   1,142.44x = 3,011,309.47
5. Step 5: Solve for x
   x = 3,011,309.47/1,142.44
6. Step 6: Final answer
   x = 2,635.86