Finding the Third Proportional to 6,978 and 16,076

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 16,076 = 16,076 : x
2. Step 2: Convert to fraction form
   6,978/16,076 = 16,076/x
3. Step 3: Cross multiply
   6,978x = 16,076 × 16,076
4. Step 4: Simplify right side
   6,978x = 258,437,776
5. Step 5: Solve for x
   x = 258,437,776/6,978
6. Step 6: Final answer
   x = 37,036.08