Finding the Third Proportional to 1,009.69 and 1,990.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.69 : 1,990.69 = 1,990.69 : x
2. Step 2: Convert to fraction form
   1,009.69/1,990.69 = 1,990.69/x
3. Step 3: Cross multiply
   1,009.69x = 1,990.69 × 1,990.69
4. Step 4: Simplify right side
   1,009.69x = 3,962,836.72
5. Step 5: Solve for x
   x = 3,962,836.72/1,009.69
6. Step 6: Final answer
   x = 3,924.82