Finding the Third Proportional to 17,842 and 38,456

Step by Step Solution

1. Step 1: Write the proportion equation
   17,842 : 38,456 = 38,456 : x
2. Step 2: Convert to fraction form
   17,842/38,456 = 38,456/x
3. Step 3: Cross multiply
   17,842x = 38,456 × 38,456
4. Step 4: Simplify right side
   17,842x = 1,478,863,936
5. Step 5: Solve for x
   x = 1,478,863,936/17,842
6. Step 6: Final answer
   x = 82,886.67