Finding the Third Proportional to 11,563 and 25,714

Step by Step Solution

1. Step 1: Write the proportion equation
   11,563 : 25,714 = 25,714 : x
2. Step 2: Convert to fraction form
   11,563/25,714 = 25,714/x
3. Step 3: Cross multiply
   11,563x = 25,714 × 25,714
4. Step 4: Simplify right side
   11,563x = 661,209,796
5. Step 5: Solve for x
   x = 661,209,796/11,563
6. Step 6: Final answer
   x = 57,183.24