Finding the Third Proportional to 963 and 2,259.56

Step by Step Solution

1. Step 1: Write the proportion equation
   963 : 2,259.56 = 2,259.56 : x
2. Step 2: Convert to fraction form
   963/2,259.56 = 2,259.56/x
3. Step 3: Cross multiply
   963x = 2,259.56 × 2,259.56
4. Step 4: Simplify right side
   963x = 5,105,622.69
5. Step 5: Solve for x
   x = 5,105,622.69/963
6. Step 6: Final answer
   x = 5,301.79