Finding the Third Proportional to 2,107.69 and 3,080.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,107.69 : 3,080.53 = 3,080.53 : x
2. Step 2: Convert to fraction form
   2,107.69/3,080.53 = 3,080.53/x
3. Step 3: Cross multiply
   2,107.69x = 3,080.53 × 3,080.53
4. Step 4: Simplify right side
   2,107.69x = 9,489,672.78
5. Step 5: Solve for x
   x = 9,489,672.78/2,107.69
6. Step 6: Final answer
   x = 4,502.41