Finding the Third Proportional to 585.38 and 1,256.72

Step by Step Solution

1. Step 1: Write the proportion equation
   585.38 : 1,256.72 = 1,256.72 : x
2. Step 2: Convert to fraction form
   585.38/1,256.72 = 1,256.72/x
3. Step 3: Cross multiply
   585.38x = 1,256.72 × 1,256.72
4. Step 4: Simplify right side
   585.38x = 1,579,342.02
5. Step 5: Solve for x
   x = 1,579,342.02/585.38
6. Step 6: Final answer
   x = 2,698.00