Finding the Third Proportional to 2,130.75 and 4,519.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,130.75 : 4,519.69 = 4,519.69 : x
2. Step 2: Convert to fraction form
   2,130.75/4,519.69 = 4,519.69/x
3. Step 3: Cross multiply
   2,130.75x = 4,519.69 × 4,519.69
4. Step 4: Simplify right side
   2,130.75x = 20,427,575.10
5. Step 5: Solve for x
   x = 20,427,575.10/2,130.75
6. Step 6: Final answer
   x = 9,587.04