Finding the Third Proportional to 1,468.97 and 2,080.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.97 : 2,080.69 = 2,080.69 : x
2. Step 2: Convert to fraction form
   1,468.97/2,080.69 = 2,080.69/x
3. Step 3: Cross multiply
   1,468.97x = 2,080.69 × 2,080.69
4. Step 4: Simplify right side
   1,468.97x = 4,329,260.47
5. Step 5: Solve for x
   x = 4,329,260.47/1,468.97
6. Step 6: Final answer
   x = 2,947.14