Finding the Third Proportional to 17,628 and 39,696

Step by Step Solution

1. Step 1: Write the proportion equation
   17,628 : 39,696 = 39,696 : x
2. Step 2: Convert to fraction form
   17,628/39,696 = 39,696/x
3. Step 3: Cross multiply
   17,628x = 39,696 × 39,696
4. Step 4: Simplify right side
   17,628x = 1,575,772,416
5. Step 5: Solve for x
   x = 1,575,772,416/17,628
6. Step 6: Final answer
   x = 89,390.31