Finding the Third Proportional to 27,696 and 57,036

Step by Step Solution

1. Step 1: Write the proportion equation
   27,696 : 57,036 = 57,036 : x
2. Step 2: Convert to fraction form
   27,696/57,036 = 57,036/x
3. Step 3: Cross multiply
   27,696x = 57,036 × 57,036
4. Step 4: Simplify right side
   27,696x = 3,253,105,296
5. Step 5: Solve for x
   x = 3,253,105,296/27,696
6. Step 6: Final answer
   x = 117,457.59