Finding the Third Proportional to 24,820 and 53,144

Step by Step Solution

1. Step 1: Write the proportion equation
   24,820 : 53,144 = 53,144 : x
2. Step 2: Convert to fraction form
   24,820/53,144 = 53,144/x
3. Step 3: Cross multiply
   24,820x = 53,144 × 53,144
4. Step 4: Simplify right side
   24,820x = 2,824,284,736
5. Step 5: Solve for x
   x = 2,824,284,736/24,820
6. Step 6: Final answer
   x = 113,790.68