Finding the Third Proportional to 1,310.31 and 2,021.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,310.31 : 2,021.69 = 2,021.69 : x
2. Step 2: Convert to fraction form
   1,310.31/2,021.69 = 2,021.69/x
3. Step 3: Cross multiply
   1,310.31x = 2,021.69 × 2,021.69
4. Step 4: Simplify right side
   1,310.31x = 4,087,220.35
5. Step 5: Solve for x
   x = 4,087,220.35/1,310.31
6. Step 6: Final answer
   x = 3,119.27