Finding the Third Proportional to 5,735.25 and 12,563.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,735.25 : 12,563.25 = 12,563.25 : x
2. Step 2: Convert to fraction form
   5,735.25/12,563.25 = 12,563.25/x
3. Step 3: Cross multiply
   5,735.25x = 12,563.25 × 12,563.25
4. Step 4: Simplify right side
   5,735.25x = 157,835,250.56
5. Step 5: Solve for x
   x = 157,835,250.56/5,735.25
6. Step 6: Final answer
   x = 27,520.20