Finding the Third Proportional to 2,116 and 2,420

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116 : 2,420 = 2,420 : x
2. Step 2: Convert to fraction form
   2,116/2,420 = 2,420/x
3. Step 3: Cross multiply
   2,116x = 2,420 × 2,420
4. Step 4: Simplify right side
   2,116x = 5,856,400
5. Step 5: Solve for x
   x = 5,856,400/2,116
6. Step 6: Final answer
   x = 2,767.67