Finding the Third Proportional to 21,778 and 31,826

Step by Step Solution

1. Step 1: Write the proportion equation
   21,778 : 31,826 = 31,826 : x
2. Step 2: Convert to fraction form
   21,778/31,826 = 31,826/x
3. Step 3: Cross multiply
   21,778x = 31,826 × 31,826
4. Step 4: Simplify right side
   21,778x = 1,012,894,276
5. Step 5: Solve for x
   x = 1,012,894,276/21,778
6. Step 6: Final answer
   x = 46,509.98