Finding the Third Proportional to 2,575.97 and 5,485.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.97 : 5,485.22 = 5,485.22 : x
2. Step 2: Convert to fraction form
   2,575.97/5,485.22 = 5,485.22/x
3. Step 3: Cross multiply
   2,575.97x = 5,485.22 × 5,485.22
4. Step 4: Simplify right side
   2,575.97x = 30,087,624.74
5. Step 5: Solve for x
   x = 30,087,624.74/2,575.97
6. Step 6: Final answer
   x = 11,680.12