Finding the Third Proportional to 1,123.24 and 2,301.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.24 : 2,301.54 = 2,301.54 : x
2. Step 2: Convert to fraction form
   1,123.24/2,301.54 = 2,301.54/x
3. Step 3: Cross multiply
   1,123.24x = 2,301.54 × 2,301.54
4. Step 4: Simplify right side
   1,123.24x = 5,297,082.06
5. Step 5: Solve for x
   x = 5,297,082.06/1,123.24
6. Step 6: Final answer
   x = 4,715.89