Finding the Third Proportional to 16,034 and 37,456

Step by Step Solution

1. Step 1: Write the proportion equation
   16,034 : 37,456 = 37,456 : x
2. Step 2: Convert to fraction form
   16,034/37,456 = 37,456/x
3. Step 3: Cross multiply
   16,034x = 37,456 × 37,456
4. Step 4: Simplify right side
   16,034x = 1,402,951,936
5. Step 5: Solve for x
   x = 1,402,951,936/16,034
6. Step 6: Final answer
   x = 87,498.56