Finding the Third Proportional to 2,099.75 and 5,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.75 : 5,465.50 = 5,465.50 : x
2. Step 2: Convert to fraction form
   2,099.75/5,465.50 = 5,465.50/x
3. Step 3: Cross multiply
   2,099.75x = 5,465.50 × 5,465.50
4. Step 4: Simplify right side
   2,099.75x = 29,871,690.25
5. Step 5: Solve for x
   x = 29,871,690.25/2,099.75
6. Step 6: Final answer
   x = 14,226.31