Finding the Third Proportional to 1,378.69 and 2,041.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.69 : 2,041.03 = 2,041.03 : x
2. Step 2: Convert to fraction form
   1,378.69/2,041.03 = 2,041.03/x
3. Step 3: Cross multiply
   1,378.69x = 2,041.03 × 2,041.03
4. Step 4: Simplify right side
   1,378.69x = 4,165,808.56
5. Step 5: Solve for x
   x = 4,165,808.56/1,378.69
6. Step 6: Final answer
   x = 3,021.58