Finding the Third Proportional to 2,923.59 and 4,614.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,923.59 : 4,614.47 = 4,614.47 : x
2. Step 2: Convert to fraction form
   2,923.59/4,614.47 = 4,614.47/x
3. Step 3: Cross multiply
   2,923.59x = 4,614.47 × 4,614.47
4. Step 4: Simplify right side
   2,923.59x = 21,293,321.84
5. Step 5: Solve for x
   x = 21,293,321.84/2,923.59
6. Step 6: Final answer
   x = 7,283.27