Finding the Third Proportional to 1,275.75 and 3,080.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,275.75 : 3,080.53 = 3,080.53 : x
2. Step 2: Convert to fraction form
   1,275.75/3,080.53 = 3,080.53/x
3. Step 3: Cross multiply
   1,275.75x = 3,080.53 × 3,080.53
4. Step 4: Simplify right side
   1,275.75x = 9,489,672.78
5. Step 5: Solve for x
   x = 9,489,672.78/1,275.75
6. Step 6: Final answer
   x = 7,438.51