Finding the Third Proportional to 471.45 and 1,023.89

Step by Step Solution

1. Step 1: Write the proportion equation
   471.45 : 1,023.89 = 1,023.89 : x
2. Step 2: Convert to fraction form
   471.45/1,023.89 = 1,023.89/x
3. Step 3: Cross multiply
   471.45x = 1,023.89 × 1,023.89
4. Step 4: Simplify right side
   471.45x = 1,048,352.01
5. Step 5: Solve for x
   x = 1,048,352.01/471.45
6. Step 6: Final answer
   x = 2,223.70