Finding the Third Proportional to 6,699 and 10,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,699 : 10,558.50 = 10,558.50 : x
2. Step 2: Convert to fraction form
   6,699/10,558.50 = 10,558.50/x
3. Step 3: Cross multiply
   6,699x = 10,558.50 × 10,558.50
4. Step 4: Simplify right side
   6,699x = 111,481,922.25
5. Step 5: Solve for x
   x = 111,481,922.25/6,699
6. Step 6: Final answer
   x = 16,641.58