Finding the Third Proportional to 17,660 and 41,696

Step by Step Solution

1. Step 1: Write the proportion equation
   17,660 : 41,696 = 41,696 : x
2. Step 2: Convert to fraction form
   17,660/41,696 = 41,696/x
3. Step 3: Cross multiply
   17,660x = 41,696 × 41,696
4. Step 4: Simplify right side
   17,660x = 1,738,556,416
5. Step 5: Solve for x
   x = 1,738,556,416/17,660
6. Step 6: Final answer
   x = 98,446.00