Finding the Third Proportional to 6,891.75 and 10,542.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,891.75 : 10,542.38 = 10,542.38 : x
2. Step 2: Convert to fraction form
   6,891.75/10,542.38 = 10,542.38/x
3. Step 3: Cross multiply
   6,891.75x = 10,542.38 × 10,542.38
4. Step 4: Simplify right side
   6,891.75x = 111,141,670.64
5. Step 5: Solve for x
   x = 111,141,670.64/6,891.75
6. Step 6: Final answer
   x = 16,126.77