Finding the Third Proportional to 2,443.29 and 4,977.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,443.29 : 4,977.07 = 4,977.07 : x
2. Step 2: Convert to fraction form
   2,443.29/4,977.07 = 4,977.07/x
3. Step 3: Cross multiply
   2,443.29x = 4,977.07 × 4,977.07
4. Step 4: Simplify right side
   2,443.29x = 24,771,228.90
5. Step 5: Solve for x
   x = 24,771,228.90/2,443.29
6. Step 6: Final answer
   x = 10,138.48