Finding the Third Proportional to 1,162.69 and 1,923.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.69 : 1,923.19 = 1,923.19 : x
2. Step 2: Convert to fraction form
   1,162.69/1,923.19 = 1,923.19/x
3. Step 3: Cross multiply
   1,162.69x = 1,923.19 × 1,923.19
4. Step 4: Simplify right side
   1,162.69x = 3,698,650.16
5. Step 5: Solve for x
   x = 3,698,650.16/1,162.69
6. Step 6: Final answer
   x = 3,181.12