Finding the Third Proportional to 5,287.50 and 7,436.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,287.50 : 7,436.25 = 7,436.25 : x
2. Step 2: Convert to fraction form
   5,287.50/7,436.25 = 7,436.25/x
3. Step 3: Cross multiply
   5,287.50x = 7,436.25 × 7,436.25
4. Step 4: Simplify right side
   5,287.50x = 55,297,814.06
5. Step 5: Solve for x
   x = 55,297,814.06/5,287.50
6. Step 6: Final answer
   x = 10,458.22