Finding the Third Proportional to 983.63 and 2,185.69

Step by Step Solution

1. Step 1: Write the proportion equation
   983.63 : 2,185.69 = 2,185.69 : x
2. Step 2: Convert to fraction form
   983.63/2,185.69 = 2,185.69/x
3. Step 3: Cross multiply
   983.63x = 2,185.69 × 2,185.69
4. Step 4: Simplify right side
   983.63x = 4,777,229.85
5. Step 5: Solve for x
   x = 4,777,229.85/983.63
6. Step 6: Final answer
   x = 4,856.76