Finding the Third Proportional to 17,678 and 38,590

Step by Step Solution

1. Step 1: Write the proportion equation
   17,678 : 38,590 = 38,590 : x
2. Step 2: Convert to fraction form
   17,678/38,590 = 38,590/x
3. Step 3: Cross multiply
   17,678x = 38,590 × 38,590
4. Step 4: Simplify right side
   17,678x = 1,489,188,100
5. Step 5: Solve for x
   x = 1,489,188,100/17,678
6. Step 6: Final answer
   x = 84,239.63