Finding the Third Proportional to 2,562.68 and 3,274.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.68 : 3,274.59 = 3,274.59 : x
2. Step 2: Convert to fraction form
   2,562.68/3,274.59 = 3,274.59/x
3. Step 3: Cross multiply
   2,562.68x = 3,274.59 × 3,274.59
4. Step 4: Simplify right side
   2,562.68x = 10,722,964.23
5. Step 5: Solve for x
   x = 10,722,964.23/2,562.68
6. Step 6: Final answer
   x = 4,184.28