Finding the Third Proportional to 37,268 and 54,714

Step by Step Solution

1. Step 1: Write the proportion equation
   37,268 : 54,714 = 54,714 : x
2. Step 2: Convert to fraction form
   37,268/54,714 = 54,714/x
3. Step 3: Cross multiply
   37,268x = 54,714 × 54,714
4. Step 4: Simplify right side
   37,268x = 2,993,621,796
5. Step 5: Solve for x
   x = 2,993,621,796/37,268
6. Step 6: Final answer
   x = 80,326.87