Finding the Third Proportional to 27,660 and 42,714

Step by Step Solution

1. Step 1: Write the proportion equation
   27,660 : 42,714 = 42,714 : x
2. Step 2: Convert to fraction form
   27,660/42,714 = 42,714/x
3. Step 3: Cross multiply
   27,660x = 42,714 × 42,714
4. Step 4: Simplify right side
   27,660x = 1,824,485,796
5. Step 5: Solve for x
   x = 1,824,485,796/27,660
6. Step 6: Final answer
   x = 65,961.16