Finding the Third Proportional to 1,198.50 and 2,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.50 : 2,643.75 = 2,643.75 : x
2. Step 2: Convert to fraction form
   1,198.50/2,643.75 = 2,643.75/x
3. Step 3: Cross multiply
   1,198.50x = 2,643.75 × 2,643.75
4. Step 4: Simplify right side
   1,198.50x = 6,989,414.06
5. Step 5: Solve for x
   x = 6,989,414.06/1,198.50
6. Step 6: Final answer
   x = 5,831.80