Finding the Third Proportional to 1,755.25 and 2,355.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,755.25 : 2,355.38 = 2,355.38 : x
2. Step 2: Convert to fraction form
   1,755.25/2,355.38 = 2,355.38/x
3. Step 3: Cross multiply
   1,755.25x = 2,355.38 × 2,355.38
4. Step 4: Simplify right side
   1,755.25x = 5,547,791.39
5. Step 5: Solve for x
   x = 5,547,791.39/1,755.25
6. Step 6: Final answer
   x = 3,160.68