Finding the Third Proportional to 1,185.75 and 2,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.75 : 2,608.50 = 2,608.50 : x
2. Step 2: Convert to fraction form
   1,185.75/2,608.50 = 2,608.50/x
3. Step 3: Cross multiply
   1,185.75x = 2,608.50 × 2,608.50
4. Step 4: Simplify right side
   1,185.75x = 6,804,272.25
5. Step 5: Solve for x
   x = 6,804,272.25/1,185.75
6. Step 6: Final answer
   x = 5,738.37