Finding the Third Proportional to 1,069.03 and 1,378.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.03 : 1,378.69 = 1,378.69 : x
2. Step 2: Convert to fraction form
   1,069.03/1,378.69 = 1,378.69/x
3. Step 3: Cross multiply
   1,069.03x = 1,378.69 × 1,378.69
4. Step 4: Simplify right side
   1,069.03x = 1,900,779.22
5. Step 5: Solve for x
   x = 1,900,779.22/1,069.03
6. Step 6: Final answer
   x = 1,778.04