Finding the Third Proportional to 5,467.50 and 7,958.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,467.50 : 7,958.25 = 7,958.25 : x
2. Step 2: Convert to fraction form
   5,467.50/7,958.25 = 7,958.25/x
3. Step 3: Cross multiply
   5,467.50x = 7,958.25 × 7,958.25
4. Step 4: Simplify right side
   5,467.50x = 63,333,743.06
5. Step 5: Solve for x
   x = 63,333,743.06/5,467.50
6. Step 6: Final answer
   x = 11,583.68