Finding the Third Proportional to 21,340 and 33,764

Step by Step Solution

1. Step 1: Write the proportion equation
   21,340 : 33,764 = 33,764 : x
2. Step 2: Convert to fraction form
   21,340/33,764 = 33,764/x
3. Step 3: Cross multiply
   21,340x = 33,764 × 33,764
4. Step 4: Simplify right side
   21,340x = 1,140,007,696
5. Step 5: Solve for x
   x = 1,140,007,696/21,340
6. Step 6: Final answer
   x = 53,421.17