Finding the Third Proportional to 1,162.25 and 2,049.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.25 : 2,049.25 = 2,049.25 : x
2. Step 2: Convert to fraction form
   1,162.25/2,049.25 = 2,049.25/x
3. Step 3: Cross multiply
   1,162.25x = 2,049.25 × 2,049.25
4. Step 4: Simplify right side
   1,162.25x = 4,199,425.56
5. Step 5: Solve for x
   x = 4,199,425.56/1,162.25
6. Step 6: Final answer
   x = 3,613.19