Finding the Third Proportional to 2,948 and 7,802

Step by Step Solution

1. Step 1: Write the proportion equation
   2,948 : 7,802 = 7,802 : x
2. Step 2: Convert to fraction form
   2,948/7,802 = 7,802/x
3. Step 3: Cross multiply
   2,948x = 7,802 × 7,802
4. Step 4: Simplify right side
   2,948x = 60,871,204
5. Step 5: Solve for x
   x = 60,871,204/2,948
6. Step 6: Final answer
   x = 20,648.31