Finding the Third Proportional to 6,578.72 and 9,522.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,578.72 : 9,522.56 = 9,522.56 : x
2. Step 2: Convert to fraction form
   6,578.72/9,522.56 = 9,522.56/x
3. Step 3: Cross multiply
   6,578.72x = 9,522.56 × 9,522.56
4. Step 4: Simplify right side
   6,578.72x = 90,679,196.57
5. Step 5: Solve for x
   x = 90,679,196.57/6,578.72
6. Step 6: Final answer
   x = 13,783.72