Finding the Third Proportional to 2,178.98 and 4,665.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.98 : 4,665.52 = 4,665.52 : x
2. Step 2: Convert to fraction form
   2,178.98/4,665.52 = 4,665.52/x
3. Step 3: Cross multiply
   2,178.98x = 4,665.52 × 4,665.52
4. Step 4: Simplify right side
   2,178.98x = 21,767,036.05
5. Step 5: Solve for x
   x = 21,767,036.05/2,178.98
6. Step 6: Final answer
   x = 9,989.53