Finding the Third Proportional to 21,874 and 33,778

Step by Step Solution

1. Step 1: Write the proportion equation
   21,874 : 33,778 = 33,778 : x
2. Step 2: Convert to fraction form
   21,874/33,778 = 33,778/x
3. Step 3: Cross multiply
   21,874x = 33,778 × 33,778
4. Step 4: Simplify right side
   21,874x = 1,140,953,284
5. Step 5: Solve for x
   x = 1,140,953,284/21,874
6. Step 6: Final answer
   x = 52,160.25