Finding the Third Proportional to 1,009.69 and 2,112.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.69 : 2,112.19 = 2,112.19 : x
2. Step 2: Convert to fraction form
   1,009.69/2,112.19 = 2,112.19/x
3. Step 3: Cross multiply
   1,009.69x = 2,112.19 × 2,112.19
4. Step 4: Simplify right side
   1,009.69x = 4,461,336.04
5. Step 5: Solve for x
   x = 4,461,336.04/1,009.69
6. Step 6: Final answer
   x = 4,418.53