Finding the Third Proportional to 6,759 and 10,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,759 : 10,579.50 = 10,579.50 : x
2. Step 2: Convert to fraction form
   6,759/10,579.50 = 10,579.50/x
3. Step 3: Cross multiply
   6,759x = 10,579.50 × 10,579.50
4. Step 4: Simplify right side
   6,759x = 111,925,820.25
5. Step 5: Solve for x
   x = 111,925,820.25/6,759
6. Step 6: Final answer
   x = 16,559.52