Finding the Third Proportional to 11,524 and 23,770

Step by Step Solution

1. Step 1: Write the proportion equation
   11,524 : 23,770 = 23,770 : x
2. Step 2: Convert to fraction form
   11,524/23,770 = 23,770/x
3. Step 3: Cross multiply
   11,524x = 23,770 × 23,770
4. Step 4: Simplify right side
   11,524x = 565,012,900
5. Step 5: Solve for x
   x = 565,012,900/11,524
6. Step 6: Final answer
   x = 49,029.23