Finding the Third Proportional to 17,684 and 38,770

Step by Step Solution

1. Step 1: Write the proportion equation
   17,684 : 38,770 = 38,770 : x
2. Step 2: Convert to fraction form
   17,684/38,770 = 38,770/x
3. Step 3: Cross multiply
   17,684x = 38,770 × 38,770
4. Step 4: Simplify right side
   17,684x = 1,503,112,900
5. Step 5: Solve for x
   x = 1,503,112,900/17,684
6. Step 6: Final answer
   x = 84,998.47