Finding the Third Proportional to 10,496 and 24,704

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 24,704 = 24,704 : x
2. Step 2: Convert to fraction form
   10,496/24,704 = 24,704/x
3. Step 3: Cross multiply
   10,496x = 24,704 × 24,704
4. Step 4: Simplify right side
   10,496x = 610,287,616
5. Step 5: Solve for x
   x = 610,287,616/10,496
6. Step 6: Final answer
   x = 58,144.78