Finding the Third Proportional to 3,007.59 and 4,628.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,007.59 : 4,628.81 = 4,628.81 : x
2. Step 2: Convert to fraction form
   3,007.59/4,628.81 = 4,628.81/x
3. Step 3: Cross multiply
   3,007.59x = 4,628.81 × 4,628.81
4. Step 4: Simplify right side
   3,007.59x = 21,425,905.16
5. Step 5: Solve for x
   x = 21,425,905.16/3,007.59
6. Step 6: Final answer
   x = 7,123.94