Finding the Third Proportional to 6,763.50 and 10,659.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,763.50 : 10,659.09 = 10,659.09 : x
2. Step 2: Convert to fraction form
   6,763.50/10,659.09 = 10,659.09/x
3. Step 3: Cross multiply
   6,763.50x = 10,659.09 × 10,659.09
4. Step 4: Simplify right side
   6,763.50x = 113,616,279.57
5. Step 5: Solve for x
   x = 113,616,279.57/6,763.50
6. Step 6: Final answer
   x = 16,798.44