Finding the Third Proportional to 2,106 and 4,582

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 4,582 = 4,582 : x
2. Step 2: Convert to fraction form
   2,106/4,582 = 4,582/x
3. Step 3: Cross multiply
   2,106x = 4,582 × 4,582
4. Step 4: Simplify right side
   2,106x = 20,994,724
5. Step 5: Solve for x
   x = 20,994,724/2,106
6. Step 6: Final answer
   x = 9,969.00