Finding the Third Proportional to 6,788 and 16,010

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788 : 16,010 = 16,010 : x
2. Step 2: Convert to fraction form
   6,788/16,010 = 16,010/x
3. Step 3: Cross multiply
   6,788x = 16,010 × 16,010
4. Step 4: Simplify right side
   6,788x = 256,320,100
5. Step 5: Solve for x
   x = 256,320,100/6,788
6. Step 6: Final answer
   x = 37,760.77