Finding the Third Proportional to 5,536.31 and 7,458.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,536.31 : 7,458.56 = 7,458.56 : x
2. Step 2: Convert to fraction form
   5,536.31/7,458.56 = 7,458.56/x
3. Step 3: Cross multiply
   5,536.31x = 7,458.56 × 7,458.56
4. Step 4: Simplify right side
   5,536.31x = 55,630,154.57
5. Step 5: Solve for x
   x = 55,630,154.57/5,536.31
6. Step 6: Final answer
   x = 10,048.23