Finding the Third Proportional to 6,382.50 and 9,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,382.50 : 9,580.50 = 9,580.50 : x
2. Step 2: Convert to fraction form
   6,382.50/9,580.50 = 9,580.50/x
3. Step 3: Cross multiply
   6,382.50x = 9,580.50 × 9,580.50
4. Step 4: Simplify right side
   6,382.50x = 91,785,980.25
5. Step 5: Solve for x
   x = 91,785,980.25/6,382.50
6. Step 6: Final answer
   x = 14,380.88