Finding the Third Proportional to 27,768 and 60,714

Step by Step Solution

1. Step 1: Write the proportion equation
   27,768 : 60,714 = 60,714 : x
2. Step 2: Convert to fraction form
   27,768/60,714 = 60,714/x
3. Step 3: Cross multiply
   27,768x = 60,714 × 60,714
4. Step 4: Simplify right side
   27,768x = 3,686,189,796
5. Step 5: Solve for x
   x = 3,686,189,796/27,768
6. Step 6: Final answer
   x = 132,749.56