Finding the Third Proportional to 2,106 and 2,280

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 2,280 = 2,280 : x
2. Step 2: Convert to fraction form
   2,106/2,280 = 2,280/x
3. Step 3: Cross multiply
   2,106x = 2,280 × 2,280
4. Step 4: Simplify right side
   2,106x = 5,198,400
5. Step 5: Solve for x
   x = 5,198,400/2,106
6. Step 6: Final answer
   x = 2,468.38