Finding the Third Proportional to 3,438.56 and 5,076.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,438.56 : 5,076.56 = 5,076.56 : x
2. Step 2: Convert to fraction form
   3,438.56/5,076.56 = 5,076.56/x
3. Step 3: Cross multiply
   3,438.56x = 5,076.56 × 5,076.56
4. Step 4: Simplify right side
   3,438.56x = 25,771,486.82
5. Step 5: Solve for x
   x = 25,771,486.82/3,438.56
6. Step 6: Final answer
   x = 7,494.84