Finding the Third Proportional to 31,778 and 41,789

Step by Step Solution

1. Step 1: Write the proportion equation
   31,778 : 41,789 = 41,789 : x
2. Step 2: Convert to fraction form
   31,778/41,789 = 41,789/x
3. Step 3: Cross multiply
   31,778x = 41,789 × 41,789
4. Step 4: Simplify right side
   31,778x = 1,746,320,521
5. Step 5: Solve for x
   x = 1,746,320,521/31,778
6. Step 6: Final answer
   x = 54,953.76