Finding the Third Proportional to 17,698 and 38,678

Step by Step Solution

1. Step 1: Write the proportion equation
   17,698 : 38,678 = 38,678 : x
2. Step 2: Convert to fraction form
   17,698/38,678 = 38,678/x
3. Step 3: Cross multiply
   17,698x = 38,678 × 38,678
4. Step 4: Simplify right side
   17,698x = 1,495,987,684
5. Step 5: Solve for x
   x = 1,495,987,684/17,698
6. Step 6: Final answer
   x = 84,528.63