Finding the Third Proportional to 1,378.59 and 3,005.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.59 : 3,005.06 = 3,005.06 : x
2. Step 2: Convert to fraction form
   1,378.59/3,005.06 = 3,005.06/x
3. Step 3: Cross multiply
   1,378.59x = 3,005.06 × 3,005.06
4. Step 4: Simplify right side
   1,378.59x = 9,030,400.63
5. Step 5: Solve for x
   x = 9,030,400.63/1,378.59
6. Step 6: Final answer
   x = 6,550.44