Finding the Third Proportional to 5,386.50 and 8,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,386.50 : 8,464.50 = 8,464.50 : x
2. Step 2: Convert to fraction form
   5,386.50/8,464.50 = 8,464.50/x
3. Step 3: Cross multiply
   5,386.50x = 8,464.50 × 8,464.50
4. Step 4: Simplify right side
   5,386.50x = 71,647,760.25
5. Step 5: Solve for x
   x = 71,647,760.25/5,386.50
6. Step 6: Final answer
   x = 13,301.36