Finding the Third Proportional to 471.23 and 1,033.59

Step by Step Solution

1. Step 1: Write the proportion equation
   471.23 : 1,033.59 = 1,033.59 : x
2. Step 2: Convert to fraction form
   471.23/1,033.59 = 1,033.59/x
3. Step 3: Cross multiply
   471.23x = 1,033.59 × 1,033.59
4. Step 4: Simplify right side
   471.23x = 1,068,316.04
5. Step 5: Solve for x
   x = 1,068,316.04/471.23
6. Step 6: Final answer
   x = 2,267.06