Finding the Third Proportional to 1,057.69 and 2,320.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.69 : 2,320.44 = 2,320.44 : x
2. Step 2: Convert to fraction form
   1,057.69/2,320.44 = 2,320.44/x
3. Step 3: Cross multiply
   1,057.69x = 2,320.44 × 2,320.44
4. Step 4: Simplify right side
   1,057.69x = 5,384,430.19
5. Step 5: Solve for x
   x = 5,384,430.19/1,057.69
6. Step 6: Final answer
   x = 5,090.76