Finding the Third Proportional to 2,575.71 and 5,561.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.71 : 5,561.47 = 5,561.47 : x
2. Step 2: Convert to fraction form
   2,575.71/5,561.47 = 5,561.47/x
3. Step 3: Cross multiply
   2,575.71x = 5,561.47 × 5,561.47
4. Step 4: Simplify right side
   2,575.71x = 30,929,978.11
5. Step 5: Solve for x
   x = 30,929,978.11/2,575.71
6. Step 6: Final answer
   x = 12,008.35