Finding the Third Proportional to 30,776 and 41,074

Step by Step Solution

1. Step 1: Write the proportion equation
   30,776 : 41,074 = 41,074 : x
2. Step 2: Convert to fraction form
   30,776/41,074 = 41,074/x
3. Step 3: Cross multiply
   30,776x = 41,074 × 41,074
4. Step 4: Simplify right side
   30,776x = 1,687,073,476
5. Step 5: Solve for x
   x = 1,687,073,476/30,776
6. Step 6: Final answer
   x = 54,817.83