Finding the Third Proportional to 2,978.65 and 4,434.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.65 : 4,434.75 = 4,434.75 : x
2. Step 2: Convert to fraction form
   2,978.65/4,434.75 = 4,434.75/x
3. Step 3: Cross multiply
   2,978.65x = 4,434.75 × 4,434.75
4. Step 4: Simplify right side
   2,978.65x = 19,667,007.56
5. Step 5: Solve for x
   x = 19,667,007.56/2,978.65
6. Step 6: Final answer
   x = 6,602.66