Finding the Third Proportional to 1,086.75 and 2,258.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.75 : 2,258.30 = 2,258.30 : x
2. Step 2: Convert to fraction form
   1,086.75/2,258.30 = 2,258.30/x
3. Step 3: Cross multiply
   1,086.75x = 2,258.30 × 2,258.30
4. Step 4: Simplify right side
   1,086.75x = 5,099,904.78
5. Step 5: Solve for x
   x = 5,099,904.78/1,086.75
6. Step 6: Final answer
   x = 4,692.80