Finding the Third Proportional to 11,976 and 19,764

Step by Step Solution

1. Step 1: Write the proportion equation
   11,976 : 19,764 = 19,764 : x
2. Step 2: Convert to fraction form
   11,976/19,764 = 19,764/x
3. Step 3: Cross multiply
   11,976x = 19,764 × 19,764
4. Step 4: Simplify right side
   11,976x = 390,615,696
5. Step 5: Solve for x
   x = 390,615,696/11,976
6. Step 6: Final answer
   x = 32,616.54