Finding the Third Proportional to 1,023.94 and 1,558.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.94 : 1,558.69 = 1,558.69 : x
2. Step 2: Convert to fraction form
   1,023.94/1,558.69 = 1,558.69/x
3. Step 3: Cross multiply
   1,023.94x = 1,558.69 × 1,558.69
4. Step 4: Simplify right side
   1,023.94x = 2,429,506.72
5. Step 5: Solve for x
   x = 2,429,506.72/1,023.94
6. Step 6: Final answer
   x = 2,372.71