Finding the Third Proportional to 2,053.69 and 2,256.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.69 : 2,256.19 = 2,256.19 : x
2. Step 2: Convert to fraction form
   2,053.69/2,256.19 = 2,256.19/x
3. Step 3: Cross multiply
   2,053.69x = 2,256.19 × 2,256.19
4. Step 4: Simplify right side
   2,053.69x = 5,090,382.04
5. Step 5: Solve for x
   x = 5,090,382.04/2,053.69
6. Step 6: Final answer
   x = 2,478.65