Finding the Third Proportional to 12,697 and 27,824

Step by Step Solution

1. Step 1: Write the proportion equation
   12,697 : 27,824 = 27,824 : x
2. Step 2: Convert to fraction form
   12,697/27,824 = 27,824/x
3. Step 3: Cross multiply
   12,697x = 27,824 × 27,824
4. Step 4: Simplify right side
   12,697x = 774,174,976
5. Step 5: Solve for x
   x = 774,174,976/12,697
6. Step 6: Final answer
   x = 60,973.06