Finding the Third Proportional to 913.50 and 1,258.88

Step by Step Solution

1. Step 1: Write the proportion equation
   913.50 : 1,258.88 = 1,258.88 : x
2. Step 2: Convert to fraction form
   913.50/1,258.88 = 1,258.88/x
3. Step 3: Cross multiply
   913.50x = 1,258.88 × 1,258.88
4. Step 4: Simplify right side
   913.50x = 1,584,766.27
5. Step 5: Solve for x
   x = 1,584,766.27/913.50
6. Step 6: Final answer
   x = 1,734.83