Finding the Third Proportional to 1,097.28 and 1,604.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.28 : 1,604.83 = 1,604.83 : x
2. Step 2: Convert to fraction form
   1,097.28/1,604.83 = 1,604.83/x
3. Step 3: Cross multiply
   1,097.28x = 1,604.83 × 1,604.83
4. Step 4: Simplify right side
   1,097.28x = 2,575,479.58
5. Step 5: Solve for x
   x = 2,575,479.58/1,097.28
6. Step 6: Final answer
   x = 2,347.15