Finding the Third Proportional to 1,069.31 and 1,441.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.31 : 1,441.69 = 1,441.69 : x
2. Step 2: Convert to fraction form
   1,069.31/1,441.69 = 1,441.69/x
3. Step 3: Cross multiply
   1,069.31x = 1,441.69 × 1,441.69
4. Step 4: Simplify right side
   1,069.31x = 2,078,462.85
5. Step 5: Solve for x
   x = 2,078,462.85/1,069.31
6. Step 6: Final answer
   x = 1,943.74