Finding the Third Proportional to 6,807.50 and 10,966.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,807.50 : 10,966.75 = 10,966.75 : x
2. Step 2: Convert to fraction form
   6,807.50/10,966.75 = 10,966.75/x
3. Step 3: Cross multiply
   6,807.50x = 10,966.75 × 10,966.75
4. Step 4: Simplify right side
   6,807.50x = 120,269,605.56
5. Step 5: Solve for x
   x = 120,269,605.56/6,807.50
6. Step 6: Final answer
   x = 17,667.22