Finding the Third Proportional to 17,900 and 27,872

Step by Step Solution

1. Step 1: Write the proportion equation
   17,900 : 27,872 = 27,872 : x
2. Step 2: Convert to fraction form
   17,900/27,872 = 27,872/x
3. Step 3: Cross multiply
   17,900x = 27,872 × 27,872
4. Step 4: Simplify right side
   17,900x = 776,848,384
5. Step 5: Solve for x
   x = 776,848,384/17,900
6. Step 6: Final answer
   x = 43,399.35