Finding the Third Proportional to 6,782 and 10,499.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782 : 10,499.75 = 10,499.75 : x
2. Step 2: Convert to fraction form
   6,782/10,499.75 = 10,499.75/x
3. Step 3: Cross multiply
   6,782x = 10,499.75 × 10,499.75
4. Step 4: Simplify right side
   6,782x = 110,244,750.06
5. Step 5: Solve for x
   x = 110,244,750.06/6,782
6. Step 6: Final answer
   x = 16,255.49