Finding the Third Proportional to 2,574.28 and 5,538.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.28 : 5,538.38 = 5,538.38 : x
2. Step 2: Convert to fraction form
   2,574.28/5,538.38 = 5,538.38/x
3. Step 3: Cross multiply
   2,574.28x = 5,538.38 × 5,538.38
4. Step 4: Simplify right side
   2,574.28x = 30,673,597.64
5. Step 5: Solve for x
   x = 30,673,597.64/2,574.28
6. Step 6: Final answer
   x = 11,915.40