Finding the Third Proportional to 6,783.75 and 13,825.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,783.75 : 13,825.69 = 13,825.69 : x
2. Step 2: Convert to fraction form
   6,783.75/13,825.69 = 13,825.69/x
3. Step 3: Cross multiply
   6,783.75x = 13,825.69 × 13,825.69
4. Step 4: Simplify right side
   6,783.75x = 191,149,634.85
5. Step 5: Solve for x
   x = 191,149,634.85/6,783.75
6. Step 6: Final answer
   x = 28,177.58