Finding the Third Proportional to 2,557.83 and 5,632.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.83 : 5,632.03 = 5,632.03 : x
2. Step 2: Convert to fraction form
   2,557.83/5,632.03 = 5,632.03/x
3. Step 3: Cross multiply
   2,557.83x = 5,632.03 × 5,632.03
4. Step 4: Simplify right side
   2,557.83x = 31,719,776.00
5. Step 5: Solve for x
   x = 31,719,776.00/2,557.83
6. Step 6: Final answer
   x = 12,401.06