Finding the Third Proportional to 36,876 and 55,074

Step by Step Solution

1. Step 1: Write the proportion equation
   36,876 : 55,074 = 55,074 : x
2. Step 2: Convert to fraction form
   36,876/55,074 = 55,074/x
3. Step 3: Cross multiply
   36,876x = 55,074 × 55,074
4. Step 4: Simplify right side
   36,876x = 3,033,145,476
5. Step 5: Solve for x
   x = 3,033,145,476/36,876
6. Step 6: Final answer
   x = 82,252.56