Finding the Third Proportional to 6,139.50 and 9,522.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,139.50 : 9,522.75 = 9,522.75 : x
2. Step 2: Convert to fraction form
   6,139.50/9,522.75 = 9,522.75/x
3. Step 3: Cross multiply
   6,139.50x = 9,522.75 × 9,522.75
4. Step 4: Simplify right side
   6,139.50x = 90,682,767.56
5. Step 5: Solve for x
   x = 90,682,767.56/6,139.50
6. Step 6: Final answer
   x = 14,770.38