Finding the Third Proportional to 11,566 and 23,563

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566 : 23,563 = 23,563 : x
2. Step 2: Convert to fraction form
   11,566/23,563 = 23,563/x
3. Step 3: Cross multiply
   11,566x = 23,563 × 23,563
4. Step 4: Simplify right side
   11,566x = 555,214,969
5. Step 5: Solve for x
   x = 555,214,969/11,566
6. Step 6: Final answer
   x = 48,004.06