Finding the Third Proportional to 2,106 and 3,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 3,190.50 = 3,190.50 : x
2. Step 2: Convert to fraction form
   2,106/3,190.50 = 3,190.50/x
3. Step 3: Cross multiply
   2,106x = 3,190.50 × 3,190.50
4. Step 4: Simplify right side
   2,106x = 10,179,290.25
5. Step 5: Solve for x
   x = 10,179,290.25/2,106
6. Step 6: Final answer
   x = 4,833.47