Finding the Third Proportional to 16,014 and 37,406

Step by Step Solution

1. Step 1: Write the proportion equation
   16,014 : 37,406 = 37,406 : x
2. Step 2: Convert to fraction form
   16,014/37,406 = 37,406/x
3. Step 3: Cross multiply
   16,014x = 37,406 × 37,406
4. Step 4: Simplify right side
   16,014x = 1,399,208,836
5. Step 5: Solve for x
   x = 1,399,208,836/16,014
6. Step 6: Final answer
   x = 87,374.10