Finding the Third Proportional to 17,742 and 38,856

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742 : 38,856 = 38,856 : x
2. Step 2: Convert to fraction form
   17,742/38,856 = 38,856/x
3. Step 3: Cross multiply
   17,742x = 38,856 × 38,856
4. Step 4: Simplify right side
   17,742x = 1,509,788,736
5. Step 5: Solve for x
   x = 1,509,788,736/17,742
6. Step 6: Final answer
   x = 85,096.87