Finding the Third Proportional to 2,583 and 3,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583 : 3,829.50 = 3,829.50 : x
2. Step 2: Convert to fraction form
   2,583/3,829.50 = 3,829.50/x
3. Step 3: Cross multiply
   2,583x = 3,829.50 × 3,829.50
4. Step 4: Simplify right side
   2,583x = 14,665,070.25
5. Step 5: Solve for x
   x = 14,665,070.25/2,583
6. Step 6: Final answer
   x = 5,677.53