Finding the Third Proportional to 23,116 and 35,714

Step by Step Solution

1. Step 1: Write the proportion equation
   23,116 : 35,714 = 35,714 : x
2. Step 2: Convert to fraction form
   23,116/35,714 = 35,714/x
3. Step 3: Cross multiply
   23,116x = 35,714 × 35,714
4. Step 4: Simplify right side
   23,116x = 1,275,489,796
5. Step 5: Solve for x
   x = 1,275,489,796/23,116
6. Step 6: Final answer
   x = 55,177.79