Finding the Third Proportional to 6,142.50 and 8,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.50 : 8,329.50 = 8,329.50 : x
2. Step 2: Convert to fraction form
   6,142.50/8,329.50 = 8,329.50/x
3. Step 3: Cross multiply
   6,142.50x = 8,329.50 × 8,329.50
4. Step 4: Simplify right side
   6,142.50x = 69,380,570.25
5. Step 5: Solve for x
   x = 69,380,570.25/6,142.50
6. Step 6: Final answer
   x = 11,295.17