Finding the Third Proportional to 2,099.25 and 4,563

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.25 : 4,563 = 4,563 : x
2. Step 2: Convert to fraction form
   2,099.25/4,563 = 4,563/x
3. Step 3: Cross multiply
   2,099.25x = 4,563 × 4,563
4. Step 4: Simplify right side
   2,099.25x = 20,820,969
5. Step 5: Solve for x
   x = 20,820,969/2,099.25
6. Step 6: Final answer
   x = 9,918.29