Finding the Third Proportional to 32,698 and 71,636

Step by Step Solution

1. Step 1: Write the proportion equation
   32,698 : 71,636 = 71,636 : x
2. Step 2: Convert to fraction form
   32,698/71,636 = 71,636/x
3. Step 3: Cross multiply
   32,698x = 71,636 × 71,636
4. Step 4: Simplify right side
   32,698x = 5,131,716,496
5. Step 5: Solve for x
   x = 5,131,716,496/32,698
6. Step 6: Final answer
   x = 156,942.83