Finding the Third Proportional to 2,053.69 and 2,731.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.69 : 2,731.22 = 2,731.22 : x
2. Step 2: Convert to fraction form
   2,053.69/2,731.22 = 2,731.22/x
3. Step 3: Cross multiply
   2,053.69x = 2,731.22 × 2,731.22
4. Step 4: Simplify right side
   2,053.69x = 7,459,555.86
5. Step 5: Solve for x
   x = 7,459,555.86/2,053.69
6. Step 6: Final answer
   x = 3,632.27