Finding the Third Proportional to 2,864.81 and 4,564.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864.81 : 4,564.41 = 4,564.41 : x
2. Step 2: Convert to fraction form
   2,864.81/4,564.41 = 4,564.41/x
3. Step 3: Cross multiply
   2,864.81x = 4,564.41 × 4,564.41
4. Step 4: Simplify right side
   2,864.81x = 20,833,804.42
5. Step 5: Solve for x
   x = 20,833,804.42/2,864.81
6. Step 6: Final answer
   x = 7,272.31