Finding the Third Proportional to 1,274.56 and 1,679.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.56 : 1,679.69 = 1,679.69 : x
2. Step 2: Convert to fraction form
   1,274.56/1,679.69 = 1,679.69/x
3. Step 3: Cross multiply
   1,274.56x = 1,679.69 × 1,679.69
4. Step 4: Simplify right side
   1,274.56x = 2,821,350.10
5. Step 5: Solve for x
   x = 2,821,350.10/1,274.56
6. Step 6: Final answer
   x = 2,213.58