Finding the Third Proportional to 2,270.13 and 3,471.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270.13 : 3,471.25 = 3,471.25 : x
2. Step 2: Convert to fraction form
   2,270.13/3,471.25 = 3,471.25/x
3. Step 3: Cross multiply
   2,270.13x = 3,471.25 × 3,471.25
4. Step 4: Simplify right side
   2,270.13x = 12,049,576.56
5. Step 5: Solve for x
   x = 12,049,576.56/2,270.13
6. Step 6: Final answer
   x = 5,307.89