Finding the Third Proportional to 3,039.19 and 4,877.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,039.19 : 4,877.72 = 4,877.72 : x
2. Step 2: Convert to fraction form
   3,039.19/4,877.72 = 4,877.72/x
3. Step 3: Cross multiply
   3,039.19x = 4,877.72 × 4,877.72
4. Step 4: Simplify right side
   3,039.19x = 23,792,140.20
5. Step 5: Solve for x
   x = 23,792,140.20/3,039.19
6. Step 6: Final answer
   x = 7,828.45