Finding the Third Proportional to 1,152.75 and 1,831.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.75 : 1,831.88 = 1,831.88 : x
2. Step 2: Convert to fraction form
   1,152.75/1,831.88 = 1,831.88/x
3. Step 3: Cross multiply
   1,152.75x = 1,831.88 × 1,831.88
4. Step 4: Simplify right side
   1,152.75x = 3,355,766.02
5. Step 5: Solve for x
   x = 3,355,766.02/1,152.75
6. Step 6: Final answer
   x = 2,911.10