Finding the Third Proportional to 3,796.88 and 7,836.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.88 : 7,836.75 = 7,836.75 : x
2. Step 2: Convert to fraction form
   3,796.88/7,836.75 = 7,836.75/x
3. Step 3: Cross multiply
   3,796.88x = 7,836.75 × 7,836.75
4. Step 4: Simplify right side
   3,796.88x = 61,414,650.56
5. Step 5: Solve for x
   x = 61,414,650.56/3,796.88
6. Step 6: Final answer
   x = 16,175.05