Finding the Third Proportional to 2,434.50 and 4,320.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,434.50 : 4,320.56 = 4,320.56 : x
2. Step 2: Convert to fraction form
   2,434.50/4,320.56 = 4,320.56/x
3. Step 3: Cross multiply
   2,434.50x = 4,320.56 × 4,320.56
4. Step 4: Simplify right side
   2,434.50x = 18,667,260.32
5. Step 5: Solve for x
   x = 18,667,260.32/2,434.50
6. Step 6: Final answer
   x = 7,667.80