Finding the Third Proportional to 11,098 and 23,563

Step by Step Solution

1. Step 1: Write the proportion equation
   11,098 : 23,563 = 23,563 : x
2. Step 2: Convert to fraction form
   11,098/23,563 = 23,563/x
3. Step 3: Cross multiply
   11,098x = 23,563 × 23,563
4. Step 4: Simplify right side
   11,098x = 555,214,969
5. Step 5: Solve for x
   x = 555,214,969/11,098
6. Step 6: Final answer
   x = 50,028.38