Finding the Third Proportional to 2,106 and 3,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 3,361.50 = 3,361.50 : x
2. Step 2: Convert to fraction form
   2,106/3,361.50 = 3,361.50/x
3. Step 3: Cross multiply
   2,106x = 3,361.50 × 3,361.50
4. Step 4: Simplify right side
   2,106x = 11,299,682.25
5. Step 5: Solve for x
   x = 11,299,682.25/2,106
6. Step 6: Final answer
   x = 5,365.47