Finding the Third Proportional to 16,014 and 37,228

Step by Step Solution

1. Step 1: Write the proportion equation
   16,014 : 37,228 = 37,228 : x
2. Step 2: Convert to fraction form
   16,014/37,228 = 37,228/x
3. Step 3: Cross multiply
   16,014x = 37,228 × 37,228
4. Step 4: Simplify right side
   16,014x = 1,385,923,984
5. Step 5: Solve for x
   x = 1,385,923,984/16,014
6. Step 6: Final answer
   x = 86,544.52