Finding the Third Proportional to 2,077.75 and 4,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.75 : 4,443.75 = 4,443.75 : x
2. Step 2: Convert to fraction form
   2,077.75/4,443.75 = 4,443.75/x
3. Step 3: Cross multiply
   2,077.75x = 4,443.75 × 4,443.75
4. Step 4: Simplify right side
   2,077.75x = 19,746,914.06
5. Step 5: Solve for x
   x = 19,746,914.06/2,077.75
6. Step 6: Final answer
   x = 9,503.99