Finding the Third Proportional to 475 and 1,038.25

Step by Step Solution

1. Step 1: Write the proportion equation
   475 : 1,038.25 = 1,038.25 : x
2. Step 2: Convert to fraction form
   475/1,038.25 = 1,038.25/x
3. Step 3: Cross multiply
   475x = 1,038.25 × 1,038.25
4. Step 4: Simplify right side
   475x = 1,077,963.06
5. Step 5: Solve for x
   x = 1,077,963.06/475
6. Step 6: Final answer
   x = 2,269.40