Finding the Third Proportional to 24,182 and 53,116

Step by Step Solution

1. Step 1: Write the proportion equation
   24,182 : 53,116 = 53,116 : x
2. Step 2: Convert to fraction form
   24,182/53,116 = 53,116/x
3. Step 3: Cross multiply
   24,182x = 53,116 × 53,116
4. Step 4: Simplify right side
   24,182x = 2,821,309,456
5. Step 5: Solve for x
   x = 2,821,309,456/24,182
6. Step 6: Final answer
   x = 116,669.81