Finding the Third Proportional to 913.78 and 2,023.31

Step by Step Solution

1. Step 1: Write the proportion equation
   913.78 : 2,023.31 = 2,023.31 : x
2. Step 2: Convert to fraction form
   913.78/2,023.31 = 2,023.31/x
3. Step 3: Cross multiply
   913.78x = 2,023.31 × 2,023.31
4. Step 4: Simplify right side
   913.78x = 4,093,793.47
5. Step 5: Solve for x
   x = 4,093,793.47/913.78
6. Step 6: Final answer
   x = 4,480.06