Finding the Third Proportional to 16,742 and 37,156

Step by Step Solution

1. Step 1: Write the proportion equation
   16,742 : 37,156 = 37,156 : x
2. Step 2: Convert to fraction form
   16,742/37,156 = 37,156/x
3. Step 3: Cross multiply
   16,742x = 37,156 × 37,156
4. Step 4: Simplify right side
   16,742x = 1,380,568,336
5. Step 5: Solve for x
   x = 1,380,568,336/16,742
6. Step 6: Final answer
   x = 82,461.37