Finding the Third Proportional to 1,475.25 and 3,224.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,475.25 : 3,224.25 = 3,224.25 : x
2. Step 2: Convert to fraction form
   1,475.25/3,224.25 = 3,224.25/x
3. Step 3: Cross multiply
   1,475.25x = 3,224.25 × 3,224.25
4. Step 4: Simplify right side
   1,475.25x = 10,395,788.06
5. Step 5: Solve for x
   x = 10,395,788.06/1,475.25
6. Step 6: Final answer
   x = 7,046.80