Finding the Third Proportional to 1,185.75 and 1,755.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.75 : 1,755.38 = 1,755.38 : x
2. Step 2: Convert to fraction form
   1,185.75/1,755.38 = 1,755.38/x
3. Step 3: Cross multiply
   1,185.75x = 1,755.38 × 1,755.38
4. Step 4: Simplify right side
   1,185.75x = 3,081,341.39
5. Step 5: Solve for x
   x = 3,081,341.39/1,185.75
6. Step 6: Final answer
   x = 2,598.64