Finding the Third Proportional to 1,674.25 and 2,236.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674.25 : 2,236.75 = 2,236.75 : x
2. Step 2: Convert to fraction form
   1,674.25/2,236.75 = 2,236.75/x
3. Step 3: Cross multiply
   1,674.25x = 2,236.75 × 2,236.75
4. Step 4: Simplify right side
   1,674.25x = 5,003,050.56
5. Step 5: Solve for x
   x = 5,003,050.56/1,674.25
6. Step 6: Final answer
   x = 2,988.23