Finding the Third Proportional to 2,958.71 and 4,616.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,958.71 : 4,616.05 = 4,616.05 : x
2. Step 2: Convert to fraction form
   2,958.71/4,616.05 = 4,616.05/x
3. Step 3: Cross multiply
   2,958.71x = 4,616.05 × 4,616.05
4. Step 4: Simplify right side
   2,958.71x = 21,307,924.82
5. Step 5: Solve for x
   x = 21,307,924.82/2,958.71
6. Step 6: Final answer
   x = 7,201.75