Finding the Third Proportional to 1,603.76 and 1,831.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.76 : 1,831.57 = 1,831.57 : x
2. Step 2: Convert to fraction form
   1,603.76/1,831.57 = 1,831.57/x
3. Step 3: Cross multiply
   1,603.76x = 1,831.57 × 1,831.57
4. Step 4: Simplify right side
   1,603.76x = 3,354,649.81
5. Step 5: Solve for x
   x = 3,354,649.81/1,603.76
6. Step 6: Final answer
   x = 2,091.74