Finding the Third Proportional to 6,331.50 and 7,607.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,331.50 : 7,607.25 = 7,607.25 : x
2. Step 2: Convert to fraction form
   6,331.50/7,607.25 = 7,607.25/x
3. Step 3: Cross multiply
   6,331.50x = 7,607.25 × 7,607.25
4. Step 4: Simplify right side
   6,331.50x = 57,870,252.56
5. Step 5: Solve for x
   x = 57,870,252.56/6,331.50
6. Step 6: Final answer
   x = 9,140.05