Finding the Third Proportional to 17,648 and 37,856

Step by Step Solution

1. Step 1: Write the proportion equation
   17,648 : 37,856 = 37,856 : x
2. Step 2: Convert to fraction form
   17,648/37,856 = 37,856/x
3. Step 3: Cross multiply
   17,648x = 37,856 × 37,856
4. Step 4: Simplify right side
   17,648x = 1,433,076,736
5. Step 5: Solve for x
   x = 1,433,076,736/17,648
6. Step 6: Final answer
   x = 81,203.35