Finding the Third Proportional to 17,856 and 37,872

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 37,872 = 37,872 : x
2. Step 2: Convert to fraction form
   17,856/37,872 = 37,872/x
3. Step 3: Cross multiply
   17,856x = 37,872 × 37,872
4. Step 4: Simplify right side
   17,856x = 1,434,288,384
5. Step 5: Solve for x
   x = 1,434,288,384/17,856
6. Step 6: Final answer
   x = 80,325.29