Finding the Third Proportional to 2,106 and 4,610.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 4,610.25 = 4,610.25 : x
2. Step 2: Convert to fraction form
   2,106/4,610.25 = 4,610.25/x
3. Step 3: Cross multiply
   2,106x = 4,610.25 × 4,610.25
4. Step 4: Simplify right side
   2,106x = 21,254,405.06
5. Step 5: Solve for x
   x = 21,254,405.06/2,106
6. Step 6: Final answer
   x = 10,092.31