Finding the Third Proportional to 1,153.69 and 1,831.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.69 : 1,831.22 = 1,831.22 : x
2. Step 2: Convert to fraction form
   1,153.69/1,831.22 = 1,831.22/x
3. Step 3: Cross multiply
   1,153.69x = 1,831.22 × 1,831.22
4. Step 4: Simplify right side
   1,153.69x = 3,353,362.11
5. Step 5: Solve for x
   x = 3,353,362.11/1,153.69
6. Step 6: Final answer
   x = 2,906.65