Finding the Third Proportional to 589.50 and 1,038

Step by Step Solution

1. Step 1: Write the proportion equation
   589.50 : 1,038 = 1,038 : x
2. Step 2: Convert to fraction form
   589.50/1,038 = 1,038/x
3. Step 3: Cross multiply
   589.50x = 1,038 × 1,038
4. Step 4: Simplify right side
   589.50x = 1,077,444
5. Step 5: Solve for x
   x = 1,077,444/589.50
6. Step 6: Final answer
   x = 1,827.73