Finding the Third Proportional to 11,077 and 24,230

Step by Step Solution

1. Step 1: Write the proportion equation
   11,077 : 24,230 = 24,230 : x
2. Step 2: Convert to fraction form
   11,077/24,230 = 24,230/x
3. Step 3: Cross multiply
   11,077x = 24,230 × 24,230
4. Step 4: Simplify right side
   11,077x = 587,092,900
5. Step 5: Solve for x
   x = 587,092,900/11,077
6. Step 6: Final answer
   x = 53,001.07