Finding the Third Proportional to 3,100.78 and 4,521.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,100.78 : 4,521.23 = 4,521.23 : x
2. Step 2: Convert to fraction form
   3,100.78/4,521.23 = 4,521.23/x
3. Step 3: Cross multiply
   3,100.78x = 4,521.23 × 4,521.23
4. Step 4: Simplify right side
   3,100.78x = 20,441,560.27
5. Step 5: Solve for x
   x = 20,441,560.27/3,100.78
6. Step 6: Final answer
   x = 6,592.39