Finding the Third Proportional to 961.56 and 2,301.38

Step by Step Solution

1. Step 1: Write the proportion equation
   961.56 : 2,301.38 = 2,301.38 : x
2. Step 2: Convert to fraction form
   961.56/2,301.38 = 2,301.38/x
3. Step 3: Cross multiply
   961.56x = 2,301.38 × 2,301.38
4. Step 4: Simplify right side
   961.56x = 5,296,353.86
5. Step 5: Solve for x
   x = 5,296,353.86/961.56
6. Step 6: Final answer
   x = 5,508.09