Finding the Third Proportional to 2,277.77 and 4,978.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,277.77 : 4,978.42 = 4,978.42 : x
2. Step 2: Convert to fraction form
   2,277.77/4,978.42 = 4,978.42/x
3. Step 3: Cross multiply
   2,277.77x = 4,978.42 × 4,978.42
4. Step 4: Simplify right side
   2,277.77x = 24,784,616.30
5. Step 5: Solve for x
   x = 24,784,616.30/2,277.77
6. Step 6: Final answer
   x = 10,881.09