Finding the Third Proportional to 17,867 and 38,194

Step by Step Solution

1. Step 1: Write the proportion equation
   17,867 : 38,194 = 38,194 : x
2. Step 2: Convert to fraction form
   17,867/38,194 = 38,194/x
3. Step 3: Cross multiply
   17,867x = 38,194 × 38,194
4. Step 4: Simplify right side
   17,867x = 1,458,781,636
5. Step 5: Solve for x
   x = 1,458,781,636/17,867
6. Step 6: Final answer
   x = 81,646.70