Finding the Third Proportional to 1,121.81 and 2,299.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,121.81 : 2,299.69 = 2,299.69 : x
2. Step 2: Convert to fraction form
   1,121.81/2,299.69 = 2,299.69/x
3. Step 3: Cross multiply
   1,121.81x = 2,299.69 × 2,299.69
4. Step 4: Simplify right side
   1,121.81x = 5,288,562.60
5. Step 5: Solve for x
   x = 5,288,562.60/1,121.81
6. Step 6: Final answer
   x = 4,714.30