Finding the Third Proportional to 37,714 and 57,048

Step by Step Solution

1. Step 1: Write the proportion equation
   37,714 : 57,048 = 57,048 : x
2. Step 2: Convert to fraction form
   37,714/57,048 = 57,048/x
3. Step 3: Cross multiply
   37,714x = 57,048 × 57,048
4. Step 4: Simplify right side
   37,714x = 3,254,474,304
5. Step 5: Solve for x
   x = 3,254,474,304/37,714
6. Step 6: Final answer
   x = 86,293.53