Finding the Third Proportional to 2,077.52 and 3,289.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.52 : 3,289.36 = 3,289.36 : x
2. Step 2: Convert to fraction form
   2,077.52/3,289.36 = 3,289.36/x
3. Step 3: Cross multiply
   2,077.52x = 3,289.36 × 3,289.36
4. Step 4: Simplify right side
   2,077.52x = 10,819,885.10
5. Step 5: Solve for x
   x = 10,819,885.10/2,077.52
6. Step 6: Final answer
   x = 5,208.07