Finding the Third Proportional to 2,106 and 4,561.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 4,561.31 = 4,561.31 : x
2. Step 2: Convert to fraction form
   2,106/4,561.31 = 4,561.31/x
3. Step 3: Cross multiply
   2,106x = 4,561.31 × 4,561.31
4. Step 4: Simplify right side
   2,106x = 20,805,571.72
5. Step 5: Solve for x
   x = 20,805,571.72/2,106
6. Step 6: Final answer
   x = 9,879.19