Finding the Third Proportional to 4,389.19 and 5,077.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,389.19 : 5,077.69 = 5,077.69 : x
2. Step 2: Convert to fraction form
   4,389.19/5,077.69 = 5,077.69/x
3. Step 3: Cross multiply
   4,389.19x = 5,077.69 × 5,077.69
4. Step 4: Simplify right side
   4,389.19x = 25,782,910.35
5. Step 5: Solve for x
   x = 25,782,910.35/4,389.19
6. Step 6: Final answer
   x = 5,874.19