Finding the Third Proportional to 2,083 and 3,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,083 : 3,882.50 = 3,882.50 : x
2. Step 2: Convert to fraction form
   2,083/3,882.50 = 3,882.50/x
3. Step 3: Cross multiply
   2,083x = 3,882.50 × 3,882.50
4. Step 4: Simplify right side
   2,083x = 15,073,806.25
5. Step 5: Solve for x
   x = 15,073,806.25/2,083
6. Step 6: Final answer
   x = 7,236.58