Finding the Third Proportional to 461.25 and 1,085.25

Step by Step Solution

1. Step 1: Write the proportion equation
   461.25 : 1,085.25 = 1,085.25 : x
2. Step 2: Convert to fraction form
   461.25/1,085.25 = 1,085.25/x
3. Step 3: Cross multiply
   461.25x = 1,085.25 × 1,085.25
4. Step 4: Simplify right side
   461.25x = 1,177,767.56
5. Step 5: Solve for x
   x = 1,177,767.56/461.25
6. Step 6: Final answer
   x = 2,553.43