Finding the Third Proportional to 3,799 and 5,513.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,799 : 5,513.75 = 5,513.75 : x
2. Step 2: Convert to fraction form
   3,799/5,513.75 = 5,513.75/x
3. Step 3: Cross multiply
   3,799x = 5,513.75 × 5,513.75
4. Step 4: Simplify right side
   3,799x = 30,401,439.06
5. Step 5: Solve for x
   x = 30,401,439.06/3,799
6. Step 6: Final answer
   x = 8,002.48