Finding the Third Proportional to 17,856 and 38,844

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 38,844 = 38,844 : x
2. Step 2: Convert to fraction form
   17,856/38,844 = 38,844/x
3. Step 3: Cross multiply
   17,856x = 38,844 × 38,844
4. Step 4: Simplify right side
   17,856x = 1,508,856,336
5. Step 5: Solve for x
   x = 1,508,856,336/17,856
6. Step 6: Final answer
   x = 84,501.36