Finding the Third Proportional to 1,029.94 and 2,007.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.94 : 2,007.84 = 2,007.84 : x
2. Step 2: Convert to fraction form
   1,029.94/2,007.84 = 2,007.84/x
3. Step 3: Cross multiply
   1,029.94x = 2,007.84 × 2,007.84
4. Step 4: Simplify right side
   1,029.94x = 4,031,436.52
5. Step 5: Solve for x
   x = 4,031,436.52/1,029.94
6. Step 6: Final answer
   x = 3,914.25