Finding the Third Proportional to 12,696 and 27,256

Step by Step Solution

1. Step 1: Write the proportion equation
   12,696 : 27,256 = 27,256 : x
2. Step 2: Convert to fraction form
   12,696/27,256 = 27,256/x
3. Step 3: Cross multiply
   12,696x = 27,256 × 27,256
4. Step 4: Simplify right side
   12,696x = 742,889,536
5. Step 5: Solve for x
   x = 742,889,536/12,696
6. Step 6: Final answer
   x = 58,513.67