Finding the Third Proportional to 2,050 and 4,538

Step by Step Solution

1. Step 1: Write the proportion equation
   2,050 : 4,538 = 4,538 : x
2. Step 2: Convert to fraction form
   2,050/4,538 = 4,538/x
3. Step 3: Cross multiply
   2,050x = 4,538 × 4,538
4. Step 4: Simplify right side
   2,050x = 20,593,444
5. Step 5: Solve for x
   x = 20,593,444/2,050
6. Step 6: Final answer
   x = 10,045.58