Finding the Third Proportional to 2,178.14 and 4,693.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.14 : 4,693.78 = 4,693.78 : x
2. Step 2: Convert to fraction form
   2,178.14/4,693.78 = 4,693.78/x
3. Step 3: Cross multiply
   2,178.14x = 4,693.78 × 4,693.78
4. Step 4: Simplify right side
   2,178.14x = 22,031,582.42
5. Step 5: Solve for x
   x = 22,031,582.42/2,178.14
6. Step 6: Final answer
   x = 10,114.86