Finding the Third Proportional to 25,253 and 53,116

Step by Step Solution

1. Step 1: Write the proportion equation
   25,253 : 53,116 = 53,116 : x
2. Step 2: Convert to fraction form
   25,253/53,116 = 53,116/x
3. Step 3: Cross multiply
   25,253x = 53,116 × 53,116
4. Step 4: Simplify right side
   25,253x = 2,821,309,456
5. Step 5: Solve for x
   x = 2,821,309,456/25,253
6. Step 6: Final answer
   x = 111,721.75