Finding the Third Proportional to 2,099.75 and 4,374.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.75 : 4,374.25 = 4,374.25 : x
2. Step 2: Convert to fraction form
   2,099.75/4,374.25 = 4,374.25/x
3. Step 3: Cross multiply
   2,099.75x = 4,374.25 × 4,374.25
4. Step 4: Simplify right side
   2,099.75x = 19,134,063.06
5. Step 5: Solve for x
   x = 19,134,063.06/2,099.75
6. Step 6: Final answer
   x = 9,112.54