Finding the Third Proportional to 11,560 and 24,494

Step by Step Solution

1. Step 1: Write the proportion equation
   11,560 : 24,494 = 24,494 : x
2. Step 2: Convert to fraction form
   11,560/24,494 = 24,494/x
3. Step 3: Cross multiply
   11,560x = 24,494 × 24,494
4. Step 4: Simplify right side
   11,560x = 599,956,036
5. Step 5: Solve for x
   x = 599,956,036/11,560
6. Step 6: Final answer
   x = 51,899.31