Finding the Third Proportional to 5,338.69 and 8,386.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,338.69 : 8,386.88 = 8,386.88 : x
2. Step 2: Convert to fraction form
   5,338.69/8,386.88 = 8,386.88/x
3. Step 3: Cross multiply
   5,338.69x = 8,386.88 × 8,386.88
4. Step 4: Simplify right side
   5,338.69x = 70,339,672.27
5. Step 5: Solve for x
   x = 70,339,672.27/5,338.69
6. Step 6: Final answer
   x = 13,175.46