Finding the Third Proportional to 6,142.50 and 9,456.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.50 : 9,456.75 = 9,456.75 : x
2. Step 2: Convert to fraction form
   6,142.50/9,456.75 = 9,456.75/x
3. Step 3: Cross multiply
   6,142.50x = 9,456.75 × 9,456.75
4. Step 4: Simplify right side
   6,142.50x = 89,430,120.56
5. Step 5: Solve for x
   x = 89,430,120.56/6,142.50
6. Step 6: Final answer
   x = 14,559.24