Finding the Third Proportional to 17,867 and 38,106

Step by Step Solution

1. Step 1: Write the proportion equation
   17,867 : 38,106 = 38,106 : x
2. Step 2: Convert to fraction form
   17,867/38,106 = 38,106/x
3. Step 3: Cross multiply
   17,867x = 38,106 × 38,106
4. Step 4: Simplify right side
   17,867x = 1,452,067,236
5. Step 5: Solve for x
   x = 1,452,067,236/17,867
6. Step 6: Final answer
   x = 81,270.90