Finding the Third Proportional to 11,405 and 23,714

Step by Step Solution

1. Step 1: Write the proportion equation
   11,405 : 23,714 = 23,714 : x
2. Step 2: Convert to fraction form
   11,405/23,714 = 23,714/x
3. Step 3: Cross multiply
   11,405x = 23,714 × 23,714
4. Step 4: Simplify right side
   11,405x = 562,353,796
5. Step 5: Solve for x
   x = 562,353,796/11,405
6. Step 6: Final answer
   x = 49,307.65