Finding the Third Proportional to 5,281.75 and 7,384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,281.75 : 7,384.25 = 7,384.25 : x
2. Step 2: Convert to fraction form
   5,281.75/7,384.25 = 7,384.25/x
3. Step 3: Cross multiply
   5,281.75x = 7,384.25 × 7,384.25
4. Step 4: Simplify right side
   5,281.75x = 54,527,148.06
5. Step 5: Solve for x
   x = 54,527,148.06/5,281.75
6. Step 6: Final answer
   x = 10,323.69