Finding the Third Proportional to 1,458.56 and 1,674.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.56 : 1,674.56 = 1,674.56 : x
2. Step 2: Convert to fraction form
   1,458.56/1,674.56 = 1,674.56/x
3. Step 3: Cross multiply
   1,458.56x = 1,674.56 × 1,674.56
4. Step 4: Simplify right side
   1,458.56x = 2,804,159.57
5. Step 5: Solve for x
   x = 2,804,159.57/1,458.56
6. Step 6: Final answer
   x = 1,922.55