Finding the Third Proportional to 6,891.75 and 16,174.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,891.75 : 16,174.69 = 16,174.69 : x
2. Step 2: Convert to fraction form
   6,891.75/16,174.69 = 16,174.69/x
3. Step 3: Cross multiply
   6,891.75x = 16,174.69 × 16,174.69
4. Step 4: Simplify right side
   6,891.75x = 261,620,515.72
5. Step 5: Solve for x
   x = 261,620,515.72/6,891.75
6. Step 6: Final answer
   x = 37,961.41