Finding the Third Proportional to 2,562.89 and 3,959.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.89 : 3,959.67 = 3,959.67 : x
2. Step 2: Convert to fraction form
   2,562.89/3,959.67 = 3,959.67/x
3. Step 3: Cross multiply
   2,562.89x = 3,959.67 × 3,959.67
4. Step 4: Simplify right side
   2,562.89x = 15,678,954.96
5. Step 5: Solve for x
   x = 15,678,954.96/2,562.89
6. Step 6: Final answer
   x = 6,117.68