Finding the Third Proportional to 6,417.56 and 9,583.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,417.56 : 9,583.31 = 9,583.31 : x
2. Step 2: Convert to fraction form
   6,417.56/9,583.31 = 9,583.31/x
3. Step 3: Cross multiply
   6,417.56x = 9,583.31 × 9,583.31
4. Step 4: Simplify right side
   6,417.56x = 91,839,878.47
5. Step 5: Solve for x
   x = 91,839,878.47/6,417.56
6. Step 6: Final answer
   x = 14,310.71