Finding the Third Proportional to 1,097.25 and 1,685.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.25 : 1,685.81 = 1,685.81 : x
2. Step 2: Convert to fraction form
   1,097.25/1,685.81 = 1,685.81/x
3. Step 3: Cross multiply
   1,097.25x = 1,685.81 × 1,685.81
4. Step 4: Simplify right side
   1,097.25x = 2,841,963.79
5. Step 5: Solve for x
   x = 2,841,963.79/1,097.25
6. Step 6: Final answer
   x = 2,590.08