Finding the Third Proportional to 16,016 and 37,411

Step by Step Solution

1. Step 1: Write the proportion equation
   16,016 : 37,411 = 37,411 : x
2. Step 2: Convert to fraction form
   16,016/37,411 = 37,411/x
3. Step 3: Cross multiply
   16,016x = 37,411 × 37,411
4. Step 4: Simplify right side
   16,016x = 1,399,582,921
5. Step 5: Solve for x
   x = 1,399,582,921/16,016
6. Step 6: Final answer
   x = 87,386.55