Finding the Third Proportional to 2,101.78 and 4,477.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,101.78 : 4,477.78 = 4,477.78 : x
2. Step 2: Convert to fraction form
   2,101.78/4,477.78 = 4,477.78/x
3. Step 3: Cross multiply
   2,101.78x = 4,477.78 × 4,477.78
4. Step 4: Simplify right side
   2,101.78x = 20,050,524.92
5. Step 5: Solve for x
   x = 20,050,524.92/2,101.78
6. Step 6: Final answer
   x = 9,539.78