Finding the Third Proportional to 6,768 and 10,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,768 : 10,619.50 = 10,619.50 : x
2. Step 2: Convert to fraction form
   6,768/10,619.50 = 10,619.50/x
3. Step 3: Cross multiply
   6,768x = 10,619.50 × 10,619.50
4. Step 4: Simplify right side
   6,768x = 112,773,780.25
5. Step 5: Solve for x
   x = 112,773,780.25/6,768
6. Step 6: Final answer
   x = 16,662.79