Finding the Third Proportional to 2,165.91 and 5,178.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.91 : 5,178.94 = 5,178.94 : x
2. Step 2: Convert to fraction form
   2,165.91/5,178.94 = 5,178.94/x
3. Step 3: Cross multiply
   2,165.91x = 5,178.94 × 5,178.94
4. Step 4: Simplify right side
   2,165.91x = 26,821,393.63
5. Step 5: Solve for x
   x = 26,821,393.63/2,165.91
6. Step 6: Final answer
   x = 12,383.45