Finding the Third Proportional to 6,556 and 10,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,556 : 10,386.50 = 10,386.50 : x
2. Step 2: Convert to fraction form
   6,556/10,386.50 = 10,386.50/x
3. Step 3: Cross multiply
   6,556x = 10,386.50 × 10,386.50
4. Step 4: Simplify right side
   6,556x = 107,879,382.25
5. Step 5: Solve for x
   x = 107,879,382.25/6,556
6. Step 6: Final answer
   x = 16,455.06