Finding the Third Proportional to 1,427.63 and 2,080.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.63 : 2,080.69 = 2,080.69 : x
2. Step 2: Convert to fraction form
   1,427.63/2,080.69 = 2,080.69/x
3. Step 3: Cross multiply
   1,427.63x = 2,080.69 × 2,080.69
4. Step 4: Simplify right side
   1,427.63x = 4,329,260.47
5. Step 5: Solve for x
   x = 4,329,260.47/1,427.63
6. Step 6: Final answer
   x = 3,032.49