Finding the Third Proportional to 21,818 and 33,578

Step by Step Solution

1. Step 1: Write the proportion equation
   21,818 : 33,578 = 33,578 : x
2. Step 2: Convert to fraction form
   21,818/33,578 = 33,578/x
3. Step 3: Cross multiply
   21,818x = 33,578 × 33,578
4. Step 4: Simplify right side
   21,818x = 1,127,482,084
5. Step 5: Solve for x
   x = 1,127,482,084/21,818
6. Step 6: Final answer
   x = 51,676.69